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 1 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(12(x + 1)(1.021 + 0.003(x + 1)) + \frac{1808.75(1896 + 15(x + 1))}{(1579 + 3(x + 1))})}{(12x(1.021 + 0.003x) + \frac{1808.75(1896 + 15x)}{(1579 + 3x)})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{12.252x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{3429390}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{12.252}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{12.252x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{3429390}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{12.252}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})}\right)}{dx}\\=&12.252(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})x + \frac{12.252}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + 0.036(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})x^{2} + \frac{0.036*2x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + 0.036(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})x + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + 0.036(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})x + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25(\frac{-(3 + 0)}{(3x + 1582)^{2}})x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})x}{(3x + 1582)} + \frac{27131.25}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{3429390(\frac{-(3 + 0)}{(3x + 1582)^{2}})}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{3429390(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})}{(3x + 1582)} + \frac{27131.25(\frac{-(3 + 0)}{(3x + 1582)^{2}})}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})}{(3x + 1582)} + 0.036(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}}) + 12.252(\frac{-(12.252 + 0.036*2x + 27131.25(\frac{-(3 + 0)}{(3x + 1579)^{2}})x + \frac{27131.25}{(3x + 1579)} + 3429390(\frac{-(3 + 0)}{(3x + 1579)^{2}}))}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})^{2}})\\=&\frac{-0.882144x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{997236.225x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{332412.075x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{126050658.84x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{150.111504x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{0.002592x^{3}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{2930.175x^{3}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{976.725x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{370374.12x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{0.441072x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.072x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{0.002592x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{2930.175x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{976.725x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{370374.12x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{0.441072x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{0.002592x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{2930.175x^{2}}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{976.725x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{370374.12x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{0.441072x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{81393.75x}{(3x + 1582)(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{1953.45x^{2}}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{2208314179.6875x^{2}}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{736104726.5625x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{279130912312.5x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{332412.075x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{246916.08x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{279130912312.5x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} + \frac{2208314179.6875x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} + \frac{35282147316300}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{1953.45x}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{279130912312.5}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} + \frac{2930.175x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} + \frac{997236.225x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{736104726.5625}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{370374.12}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{93043637437.5}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} + \frac{126050658.84}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)(3x + 1579)} - \frac{0.002592x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{42016886.28}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{976.725}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} - \frac{332412.075}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{0.882144x}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{81393.75}{(3x + 1582)(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{332412.075}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(3x + 1579)} - \frac{10288170}{(3x + 1582)(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{27131.25}{(3x + 1582)(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{0.441072}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} - \frac{150.111504}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{12.252}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})} + \frac{0.036}{(12.252x + 0.036x^{2} + \frac{27131.25x}{(3x + 1579)} + \frac{3429390}{(3x + 1579)})}\\ \end{split}\end{equation} \]