Mathematics
         
语言:中文    Language:English
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.
    Current location:Derivative function > Derivative function calculation history > Answer

    There are 1 questions in this calculation: for each question, the 4 derivative of o is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ tanh(cos(sinh(sin(o))))\ with\ respect\ to\ o:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( tanh(cos(sinh(sin(o))))\right)}{do}\\=&sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)\\=&-sin(sinh(sin(o)))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o))))\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -sin(sinh(sin(o)))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o))))\right)}{do}\\=&-cos(sinh(sin(o)))cosh(sin(o))cos(o)cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))*-sin(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos(o)sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos(o)cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)\\=&-cos^{2}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(o)sin(sinh(sin(o)))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{2}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))cos^{2}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -cos^{2}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(o)sin(sinh(sin(o)))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{2}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))cos^{2}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))\right)}{do}\\=&--2cos(o)sin(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos^{2}(o)*-sin(sinh(sin(o)))cosh(sin(o))cos(o)cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos^{2}(o)cos(sinh(sin(o)))*2cosh(sin(o))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - cos^{2}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + cos(o)sin(sinh(sin(o)))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(o)cos(sinh(sin(o)))cosh(sin(o))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(o)sin(sinh(sin(o)))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + sin(o)sin(sinh(sin(o)))cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{2}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))*-2cos(o)sin(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{2}(o)cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{2}(o)sinh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - 2*2sin(sinh(sin(o)))cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{2}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))*-2cos(o)sin(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))cos^{2}(o)*2cosh(sin(o))sinh(sin(o))cos(o)tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))cos^{2}(o)cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(sinh(sin(o)))cos^{2}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)\\=&3sin(o)cos(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))sin(o)cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))cos(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)cos(sinh(sin(o)))sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(o)sin(sinh(sin(o)))cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{3}(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 2sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 3sin(o)cos(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))sin(o)cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))cos(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)cos(sinh(sin(o)))sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(o)sin(sinh(sin(o)))cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{3}(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 2sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))\right)}{do}\\=&3cos(o)cos(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 3sin(o)*-sin(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 3sin(o)cos(o)*-sin(sinh(sin(o)))cosh(sin(o))cos(o)cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 3sin(o)cos(o)cos(sinh(sin(o)))*2cosh(sin(o))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + 3sin(o)cos(o)cos(sinh(sin(o)))cosh^{2}(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))*-3cos^{2}(o)sin(o)cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos^{3}(o)*3cosh^{2}(sin(o))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - 2*-sin(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))*-3cos^{2}(o)sin(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))cos^{3}(o)cosh(sin(o))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))cos^{3}(o)sinh(sin(o))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - 2cos(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - 6cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))*-3cos^{2}(o)sin(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)*-sin(sinh(sin(o)))cosh(sin(o))cos(o)cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)cos(sinh(sin(o)))*3cosh^{2}(sin(o))sinh(sin(o))cos(o)tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - 6sin(sinh(sin(o)))cos^{3}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + cos(sinh(sin(o)))cosh(sin(o))cos(o)cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))*-sin(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos(o)sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos(o)cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + cos(sinh(sin(o)))cosh(sin(o))cos(o)sin(o)cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))cos(o)cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))sin(o)*-sin(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))sin(o)cos(o)cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + sin(sinh(sin(o)))sin(o)cos(o)sinh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + 6cos(o)sin^{2}(sinh(sin(o)))cos(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)*2sin(sinh(sin(o)))cos(sinh(sin(o)))cosh(sin(o))cos(o)cos(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))*-sin(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))cos(o)*2cosh(sin(o))sinh(sin(o))cos(o)tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))cos(o)cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + 6sin(o)sin^{2}(sinh(sin(o)))cos(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - -3cos^{2}(o)sin(o)cos(sinh(sin(o)))sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)cos(sinh(sin(o)))cosh(sin(o))cos(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)cos(sinh(sin(o)))sinh(sin(o))sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - cos^{3}(o)cos(sinh(sin(o)))sinh(sin(o))cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + 2cos(o)sin(sinh(sin(o)))cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(o)cos(sinh(sin(o)))cosh(sin(o))cos(o)cos(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(o)sin(sinh(sin(o)))*-sin(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(o)sin(sinh(sin(o)))cos(o)cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) + 2sin(o)sin(sinh(sin(o)))cos(o)sinh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))*-3cos^{2}(o)sin(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{3}(o)cosh(sin(o))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - 6*2sin(sinh(sin(o)))cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))*-3cos^{2}(o)sin(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)cosh(sin(o))cos(o)cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)sinh(sin(o))sinh(sin(o))cos(o)tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{3}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) + 2*3sin^{2}(sinh(sin(o)))cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) + 2sin^{3}(sinh(sin(o)))*-3cos^{2}(o)sin(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) + 2sin^{3}(sinh(sin(o)))cos^{3}(o)*3cosh^{2}(sin(o))sinh(sin(o))cos(o)sech^{4}(cos(sinh(sin(o)))) + 2sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))*-4sech^{3}(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o) - 4*3sin^{2}(sinh(sin(o)))cos(sinh(sin(o)))cosh(sin(o))cos(o)cos^{3}(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))*-3cos^{2}(o)sin(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))cos^{3}(o)*3cosh^{2}(sin(o))sinh(sin(o))cos(o)tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))*2tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)sech^{2}(cos(sinh(sin(o)))) - 4sin^{3}(sinh(sin(o)))cos^{3}(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))*-2sech(cos(sinh(sin(o))))sech(cos(sinh(sin(o))))tanh(cos(sinh(sin(o))))*-sin(sinh(sin(o)))cosh(sin(o))cos(o)\\=&4cos^{2}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 3sin^{2}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 6sin(o)sin(sinh(sin(o)))cos^{2}(o)cosh^{3}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 13sin(o)cos(sinh(sin(o)))cos^{2}(o)sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 36sin(o)sin(sinh(sin(o)))cos^{2}(o)cos(sinh(sin(o)))cosh^{3}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + cos^{4}(o)cos(sinh(sin(o)))cosh^{4}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 6sin(sinh(sin(o)))cos^{4}(o)sinh(sin(o))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) + 8sin^{2}(sinh(sin(o)))cos^{4}(o)cosh^{4}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 3cos^{4}(o)cos(sinh(sin(o)))cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 2cos^{4}(o)cos(sinh(sin(o)))sinh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 22sin(sinh(sin(o)))cos(sinh(sin(o)))cos^{4}(o)sinh(sin(o))cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6cos^{4}(o)cos^{2}(sinh(sin(o)))cosh^{4}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin^{2}(sinh(sin(o)))cos(sinh(sin(o)))cos^{4}(o)cosh^{4}(sin(o))sech^{4}(cos(sinh(sin(o)))) - 24sin^{2}(sinh(sin(o)))cos^{4}(o)cos(sinh(sin(o)))cosh^{4}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - sin(o)sin(sinh(sin(o)))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 4sin(sinh(sin(o)))cos^{2}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 8sin^{2}(sinh(sin(o)))cos^{2}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))sin^{2}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 4sin(o)sin(sinh(sin(o)))cos^{2}(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 14sin^{2}(sinh(sin(o)))sin(o)cos^{2}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(o)sin^{2}(sinh(sin(o)))cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{3}(sinh(sin(o)))sin(o)cos^{2}(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) + 24sin(o)sin^{3}(sinh(sin(o)))cos^{2}(o)cosh^{3}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 5sin(o)cos^{2}(o)cos(sinh(sin(o)))sinh(sin(o))cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos(sinh(sin(o)))cos^{4}(o)cosh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - cos(sinh(sin(o)))cos^{4}(o)sinh^{2}(sin(o))sech^{2}(cos(sinh(sin(o)))) - 14sin(sinh(sin(o)))cos^{4}(o)cos(sinh(sin(o)))sinh(sin(o))cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 2sin^{2}(o)sin(sinh(sin(o)))sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 2sin(sinh(sin(o)))sin(o)cos^{2}(o)cosh(sin(o))sech^{2}(cos(sinh(sin(o)))) + 22sin(o)sin^{2}(sinh(sin(o)))cos^{2}(o)sinh(sin(o))cosh(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - sin(sinh(sin(o)))cos^{4}(o)sinh(sin(o))sech^{2}(cos(sinh(sin(o)))) - 8sin^{2}(sinh(sin(o)))cos^{4}(o)cosh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) - 6sin^{2}(sinh(sin(o)))cos^{4}(o)sinh^{2}(sin(o))tanh(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 12sin^{3}(sinh(sin(o)))cos^{4}(o)sinh(sin(o))cosh^{2}(sin(o))sech^{4}(cos(sinh(sin(o)))) - 24sin^{3}(sinh(sin(o)))cos^{4}(o)sinh(sin(o))cosh^{2}(sin(o))tanh^{2}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o)))) + 6sin^{2}(sinh(sin(o)))cos^{4}(o)cos(sinh(sin(o)))cosh^{4}(sin(o))sech^{4}(cos(sinh(sin(o)))) - 6sin(o)sin^{3}(sinh(sin(o)))cos^{2}(o)cosh^{3}(sin(o))sech^{4}(cos(sinh(sin(o)))) + 16sin^{4}(sinh(sin(o)))cos^{4}(o)cosh^{4}(sin(o))tanh(cos(sinh(sin(o))))sech^{4}(cos(sinh(sin(o)))) - 8sin^{4}(sinh(sin(o)))cos^{4}(o)cosh^{4}(sin(o))tanh^{3}(cos(sinh(sin(o))))sech^{2}(cos(sinh(sin(o))))\\ \end{split}\end{equation} \]



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  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。