What is the solution for derivative of f(x)=(x^4+3x^2-9)^6 ?

The solution for derivative of f(x)=(x^4+3x^2-9)^6 is

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derivative of f(x)=(x^4+3x^2-9)^6

\frac{d}{d x} f (x) = (x^{4} + 3 x^{2} - 9)^{6}

f (x) = \frac{x ^{25}}{25} + \frac{18 x ^{23}}{23} + \frac{27 x ^{21}}{7} - \frac{270 x ^{19}}{19} - \frac{2430 x ^{17}}{17} + \frac{486 x ^{15}}{5} + \frac{29889 x ^{13}}{13} - \frac{13122 x ^{11}}{11} - 21870 x^{9} + \frac{196830 x ^{7}}{7} + \frac{531441 x ^{5}}{5} - 354294 x^{3} + 531441 x + c_{1}

Solution steps

\frac{df}{d x} = (x^{4} + 3 x^{2} - 9)^{6}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int (x^{4} + 3 x^{2} - 9)^{6} d x

\int (x^{4} + 3 x^{2} - 9)^{6} d x = \frac{x ^{25}}{25} + \frac{18 x ^{23}}{23} + \frac{27 x ^{21}}{7} - \frac{270 x ^{19}}{19} - \frac{2430 x ^{17}}{17} + \frac{486 x ^{15}}{5} + \frac{29889 x ^{13}}{13} - \frac{13122 x ^{11}}{11} - 21870 x^{9} + \frac{196830 x ^{7}}{7} + \frac{531441 x ^{5}}{5} - 354294 x^{3} + 531441 x + c_{1}

f (x) = \frac{x ^{25}}{25} + \frac{18 x ^{23}}{23} + \frac{27 x ^{21}}{7} - \frac{270 x ^{19}}{19} - \frac{2430 x ^{17}}{17} + \frac{486 x ^{15}}{5} + \frac{29889 x ^{13}}{13} - \frac{13122 x ^{11}}{11} - 21870 x^{9} + \frac{196830 x ^{7}}{7} + \frac{531441 x ^{5}}{5} - 354294 x^{3} + 531441 x + c_{1}

\int \frac{x ^{2} - x - 5}{x ^{3} + x ^{2} - 2} d x

\frac{7}{sin ( x ) + cos ( x )}

\int - 9 e^{- 9 x} + \frac{- 7 x + 5 x ^{5}}{x ^{2}} d x

x \to 2 lim (3 x^{2} + 7 x - 15)

\int (\frac{a}{b x} + \frac{x}{c ^{2} x + x ^{3}}) d x

What is the solution for derivative of f(x)=(x^4+3x^2-9)^6 ?
The solution for derivative of f(x)=(x^4+3x^2-9)^6 is