Compute the derivative of the given function

by RoRi

September 20, 2015

Compute the derivative of the function

$f(x) = (2-x^2)\cos (x^2) + 2x \sin (x^3).$

Using the chain rule we compute,

$\begin{align*} f'(x) &= (-2x)\cos (x^2) + (2-x^2)(2x)(-\sin (x^2)) + 2 \sin (x^3) + (2x)(3x^2) \cos (x^3) \\ &= (2x^3 -4x)\sin (x^2) - 2x \cos (x^2) + 2 \sin (x^3) + 6x^3 \cos (x^3). \end{align*}$

Stumbling Robot

Compute the derivative of the given function

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