Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {4}^{{(1 + x)}^{(4{\frac{1}{(1 + x)}}^{4})}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}\right)}{dx}\\=&({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))\\=&\frac{-16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{5}} + \frac{4(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{5}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{5}} + \frac{4(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{5}}\right)}{dx}\\=&-16(\frac{-5(1 + 0)}{(x + 1)^{6}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) - \frac{16((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{5}} - \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{5}} - \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{5}(4)} - \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{5}(x + 1)} + 4(\frac{-5(1 + 0)}{(x + 1)^{6}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) + \frac{4((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{5}} + \frac{4(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{5}} + \frac{4(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{5}(4)}\\=&\frac{80(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{6}} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{10}} - \frac{36(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{6}} + \frac{16(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{10}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{80(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{6}} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{10}} - \frac{36(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{6}} + \frac{16(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{10}}\right)}{dx}\\=&80(\frac{-6(1 + 0)}{(x + 1)^{7}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) + \frac{80((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{6}} + \frac{80(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{6}} + \frac{80(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{6}(4)} + \frac{80(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{6}(x + 1)} + 256(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4) + \frac{256((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln(4)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln(4)}{(x + 1)^{10}(x + 1)} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*0}{(x + 1)^{10}(4)} - 64(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) - \frac{64((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{10}(4)} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{10}(x + 1)} + 256(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4) + \frac{256((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{10}} + \frac{256(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln^{2}(4)}{(x + 1)^{10}(x + 1)} + \frac{256(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*2ln(4)*0}{(x + 1)^{10}(4)} - 64(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1) - \frac{64((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)ln(x + 1)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0ln(x + 1)}{(x + 1)^{10}(4)} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)(1 + 0)}{(x + 1)^{10}(x + 1)} - 64(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4) - \frac{64((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln(4)}{(x + 1)^{10}(x + 1)} - \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*0}{(x + 1)^{10}(4)} - 64(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4) - \frac{64((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln^{2}(4)}{(x + 1)^{10}} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln^{2}(4)}{(x + 1)^{10}(x + 1)} - \frac{64(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*2ln(4)*0}{(x + 1)^{10}(4)} + 16(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) + \frac{16((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{10}(4)} - 36(\frac{-6(1 + 0)}{(x + 1)^{7}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) - \frac{36((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{6}} - \frac{36(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{6}} - \frac{36(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{6}(4)} + 16(\frac{-10(1 + 0)}{(x + 1)^{11}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4) + \frac{16((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)}{(x + 1)^{10}} + \frac{16(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0}{(x + 1)^{10}(4)}\\=&\frac{-480(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{7}} - \frac{3840(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{11}} - \frac{4096(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4)}{(x + 1)^{15}} + \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{15}} - \frac{12288(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{8192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4)}{(x + 1)^{11}} - \frac{4096(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{2048(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{1216(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} - \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{15}} - \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{15}} - \frac{1280(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{432(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{11}} + \frac{296(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{7}} + \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{15}} + \frac{192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)}{(x + 1)^{15}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-480(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{7}} - \frac{3840(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{11}} - \frac{4096(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4)}{(x + 1)^{15}} + \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{15}} - \frac{12288(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{8192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4)}{(x + 1)^{11}} - \frac{4096(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{2048(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{1216(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} - \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{15}} - \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{15}} - \frac{1280(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{432(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{11}} + \frac{296(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{7}} + \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{15}} + \frac{192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)}{(x + 1)^{15}}\right)}{dx}\\=&-480(\frac{-7(1 + 0)}{(x + 1)^{8}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) - \frac{480((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{7}} - \frac{480(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{7}} - \frac{480(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{7}(4)} - \frac{480(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{7}(x + 1)} - 3840(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4) - \frac{3840((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln(4)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln(4)}{(x + 1)^{11}(x + 1)} - \frac{3840(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*0}{(x + 1)^{11}(4)} + 960(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) + \frac{960((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{11}(4)} + \frac{960(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{11}(x + 1)} - 3840(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4) - \frac{3840((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{11}} - \frac{3840(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln^{2}(4)}{(x + 1)^{11}(x + 1)} - \frac{3840(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*2ln(4)*0}{(x + 1)^{11}(4)} + 960(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1) + \frac{960((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)ln(x + 1)}{(x + 1)^{11}} + \frac{960(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0ln(x + 1)}{(x + 1)^{11}(4)} + \frac{960(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)(1 + 0)}{(x + 1)^{11}(x + 1)} - 4096(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4) - \frac{4096((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4)}{(x + 1)^{15}} - \frac{4096(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(x + 1)ln(4)}{(x + 1)^{15}} - \frac{4096(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(x + 1)(1 + 0)ln(4)}{(x + 1)^{15}(x + 1)} - \frac{4096(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)*0}{(x + 1)^{15}(4)} + 3072(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4) + \frac{3072((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{15}} + \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln(4)}{(x + 1)^{15}} + \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln(4)}{(x + 1)^{15}(x + 1)} + \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*0}{(x + 1)^{15}(4)} - 12288(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4) - \frac{12288((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{15}} - \frac{12288(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{15}} - \frac{12288(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(x + 1)(1 + 0)ln^{2}(4)}{(x + 1)^{15}(x + 1)} - \frac{12288(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)*2ln(4)*0}{(x + 1)^{15}(4)} + 8192(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4) + \frac{8192((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{8192(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{15}} + \frac{8192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln^{2}(4)}{(x + 1)^{15}(x + 1)} + \frac{8192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*2ln(4)*0}{(x + 1)^{15}(4)} + 512(\frac{-11(1 + 0)}{(x + 1)^{12}}){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4) + \frac{512({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)}))ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}(1 + 0)ln(4)}{(x + 1)^{11}(x + 1)} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)*0}{(x + 1)^{11}(4)} - 4096(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4) - \frac{4096((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{4096(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{4096(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(x + 1)(1 + 0)ln^{3}(4)}{(x + 1)^{15}(x + 1)} - \frac{4096(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)*3ln^{2}(4)*0}{(x + 1)^{15}(4)} + 2048(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4) + \frac{2048((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{2048(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{15}} + \frac{2048(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(x + 1)(1 + 0)ln^{3}(4)}{(x + 1)^{15}(x + 1)} + \frac{2048(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)*3ln^{2}(4)*0}{(x + 1)^{15}(4)} + 1216(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4) + \frac{1216((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln(4)}{(x + 1)^{11}(x + 1)} + \frac{1216(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*0}{(x + 1)^{11}(4)} + 1216(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4) + \frac{1216((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{1216(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln^{2}(4)}{(x + 1)^{11}(x + 1)} + \frac{1216(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*2ln(4)*0}{(x + 1)^{11}(4)} + 512(\frac{-11(1 + 0)}{(x + 1)^{12}}){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4) + \frac{512({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)}))ln(x + 1)ln^{2}(4)}{(x + 1)^{11}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}(1 + 0)ln^{2}(4)}{(x + 1)^{11}(x + 1)} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)*2ln(4)*0}{(x + 1)^{11}(4)} - 256(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1) - \frac{256((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)ln(x + 1)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0ln(x + 1)}{(x + 1)^{15}(4)} - \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)(1 + 0)}{(x + 1)^{15}(x + 1)} - 1024(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1) - \frac{1024((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0ln(x + 1)}{(x + 1)^{15}(4)} - \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)(1 + 0)}{(x + 1)^{15}(x + 1)} - 512(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1) - \frac{512((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(4)ln(x + 1)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(4)*0ln(x + 1)}{(x + 1)^{15}(4)} - \frac{512(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)(1 + 0)}{(x + 1)^{15}(x + 1)} - 512(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4) - \frac{512((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln(4)}{(x + 1)^{15}} - \frac{512(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln(4)}{(x + 1)^{15}(x + 1)} - \frac{512(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*0}{(x + 1)^{15}(4)} + 1024(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1) + \frac{1024((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0ln^{2}(x + 1)}{(x + 1)^{15}(4)} + \frac{1024(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)*2ln(x + 1)(1 + 0)}{(x + 1)^{15}(x + 1)} - 1280(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4) - \frac{1280((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{15}} - \frac{1280(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln^{2}(4)}{(x + 1)^{15}} - \frac{1280(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln^{2}(4)}{(x + 1)^{15}(x + 1)} - \frac{1280(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*2ln(4)*0}{(x + 1)^{15}(4)} + 1024(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1) + \frac{1024((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{15}} + \frac{1024(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(4)*0ln^{2}(x + 1)}{(x + 1)^{15}(4)} + \frac{1024(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)*2ln(x + 1)(1 + 0)}{(x + 1)^{15}(x + 1)} - 256(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4) - \frac{256((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(x + 1)ln^{3}(4)}{(x + 1)^{15}} - \frac{256(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(1 + 0)ln^{3}(4)}{(x + 1)^{15}(x + 1)} - \frac{256(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)*3ln^{2}(4)*0}{(x + 1)^{15}(4)} - 432(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4) - \frac{432((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0}{(x + 1)^{11}(4)} - 432(\frac{-11(1 + 0)}{(x + 1)^{12}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) - \frac{432((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{11}} - \frac{432(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{11}(4)} + 296(\frac{-7(1 + 0)}{(x + 1)^{8}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) + \frac{296((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{7}} + \frac{296(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{7}} + \frac{296(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{7}(4)} + 64(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4) + \frac{64((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*0}{(x + 1)^{15}(4)} + 192(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4) + \frac{192((x + 1)^{(\frac{8}{(x + 1)^{4}})}((8(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{8}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{15}} + \frac{192(x + 1)^{(\frac{8}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{2}(4)}{(x + 1)^{15}} + \frac{192(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*2ln(4)*0}{(x + 1)^{15}(4)} + 64(\frac{-15(1 + 0)}{(x + 1)^{16}})(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4) + \frac{64((x + 1)^{(\frac{12}{(x + 1)^{4}})}((12(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{12}{(x + 1)^{4}})(1 + 0)}{(x + 1)})){4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{12}{(x + 1)^{4}})}({4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}((((x + 1)^{(\frac{4}{(x + 1)^{4}})}((4(\frac{-4(1 + 0)}{(x + 1)^{5}}))ln(x + 1) + \frac{(\frac{4}{(x + 1)^{4}})(1 + 0)}{(x + 1)})))ln(4) + \frac{((x + 1)^{(\frac{4}{(x + 1)^{4}})})(0)}{(4)}))ln^{3}(4)}{(x + 1)^{15}} + \frac{64(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}*3ln^{2}(4)*0}{(x + 1)^{15}(4)}\\=&\frac{3360(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{8}} + \frac{49920(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{12}} - \frac{12480(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{12}} + \frac{49920(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{12}} - \frac{12480(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{12}} + \frac{122880(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4)}{(x + 1)^{16}} - \frac{104448(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{16}} + \frac{368640(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{16}} - \frac{282624(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{16}} - \frac{13312 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4)}{(x + 1)^{12}} + \frac{122880(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{16}} - \frac{73728(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{16}} + \frac{65536(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(x + 1)ln(4)}{(x + 1)^{20}} - \frac{65536(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln(4)}{(x + 1)^{20}} + \frac{458752(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(x + 1)ln^{2}(4)}{(x + 1)^{20}} - \frac{442368(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{2}(4)}{(x + 1)^{20}} - \frac{13312 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4)}{(x + 1)^{12}} + \frac{393216(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(x + 1)ln^{3}(4)}{(x + 1)^{20}} - \frac{344064(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{3}(4)}{(x + 1)^{20}} + \frac{65536(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(x + 1)ln^{4}(4)}{(x + 1)^{20}} - \frac{12288 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln^{2}(x + 1)ln(4)}{(x + 1)^{16}} - \frac{18112(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{12}} - \frac{49152(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(x + 1)ln^{4}(4)}{(x + 1)^{20}} + \frac{6144 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(x + 1)ln(4)}{(x + 1)^{16}} - \frac{18112(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{12}} + \frac{24576(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln(4)}{(x + 1)^{20}} + \frac{151552(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{20}} + \frac{98304(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{20}} - \frac{36864 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln^{2}(x + 1)ln^{2}(4)}{(x + 1)^{16}} + \frac{12288(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(x + 1)ln^{4}(4)}{(x + 1)^{20}} + \frac{16384 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln(x + 1)ln^{2}(4)}{(x + 1)^{16}} + \frac{7680(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{16}} + \frac{33792(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{16}} + \frac{18432(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1)}{(x + 1)^{16}} + \frac{21504(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{16}} - \frac{12288 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{12}{(x + 1)^{4}})}ln^{2}(x + 1)ln^{3}(4)}{(x + 1)^{16}} - \frac{30720(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{16}} - \frac{30720(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{16}} + \frac{12288(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(4)ln^{2}(x + 1)}{(x + 1)^{20}} + \frac{4096 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{12}{(x + 1)^{4}})}ln(x + 1)ln^{3}(4)}{(x + 1)^{16}} + \frac{53760(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{16}} + \frac{10752(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4)}{(x + 1)^{16}} + \frac{2048 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln^{2}(4)ln(x + 1)}{(x + 1)^{16}} + \frac{20480(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{2}(x + 1)}{(x + 1)^{20}} + \frac{2048 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{12}{(x + 1)^{4}})}ln^{3}(4)ln(x + 1)}{(x + 1)^{16}} - \frac{1024(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)ln(x + 1)}{(x + 1)^{20}} - \frac{11264(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln(x + 1)}{(x + 1)^{20}} - \frac{49152(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{3}(x + 1)}{(x + 1)^{20}} - \frac{15360(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln(x + 1)}{(x + 1)^{20}} - \frac{3072(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(4)ln(x + 1)}{(x + 1)^{20}} - \frac{3072(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln(4)}{(x + 1)^{20}} + \frac{49152(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)ln^{2}(x + 1)}{(x + 1)^{20}} - \frac{17408(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{2}(4)}{(x + 1)^{20}} - \frac{16384(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)ln^{3}(x + 1)}{(x + 1)^{20}} - \frac{9216(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{3}(4)}{(x + 1)^{20}} - \frac{16384(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(4)ln^{3}(x + 1)}{(x + 1)^{20}} - \frac{1024(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(x + 1)ln^{4}(4)}{(x + 1)^{20}} - \frac{3456(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{16}} + \frac{8112(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{12}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{4}{(x + 1)^{4}})}ln(4)}{(x + 1)^{12}} + \frac{8112(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{12}} - \frac{10368(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{16}} + \frac{512 * {4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}(x + 1)^{(\frac{8}{(x + 1)^{4}})}ln^{2}(4)}{(x + 1)^{12}} - \frac{2552(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{8}} - \frac{3456(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)}{(x + 1)^{16}} + \frac{256(x + 1)^{(\frac{4}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln(4)}{(x + 1)^{20}} + \frac{1792(x + 1)^{(\frac{8}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{2}(4)}{(x + 1)^{20}} + \frac{1536(x + 1)^{(\frac{12}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{3}(4)}{(x + 1)^{20}} + \frac{256(x + 1)^{(\frac{16}{(x + 1)^{4}})}{4}^{(x + 1)^{(\frac{4}{(x + 1)^{4}})}}ln^{4}(4)}{(x + 1)^{20}}\\ \end{split}\end{equation} \]