Derivitive

[sigma]

Just want to know if I'm doing the follwing derivitive right here.


\(\displaystyle \
\L\begin{array}{l}
f(x) = (\sin ^2 x + \sin x^2 )(x^3 + \cos (3x)) \\
f'(x) = (2\sin x(\cos x) + \cos x^2 (2x))(x^3 + \cos (3x)) + (\sin ^2 x + \sin x^2 )(3x^2 - \sin (3x)(3)) \\
\end{array}
\

\\)

f'(x) does not have to be simplified.

 

[galactus]

This is one monster of a derivative. I ran 'er through Maple and it gave me:

\(\displaystyle \L\\(2sin(x)cos(x)+2xcos(x^{2})(x^{3}+cos(3x))+(sin^{2}(x)+sin(x^{2}))(3x^{2}-3sin(3x))\)

Very good!. You get a cookie.

 

[sigma]