Product and chain rules

Look at how the function is built.

AP and College Calculus: Derivatives

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

\frac{d}{d x} f (g (x)) = f^{'} (g (x)) g^{'} (x)

Work through it

$2 x sin x + x^{2} cos x$

$cos (x^{2}) \cdot 2 x$

$\frac{d}{d x} (x^{2} + 1)^{3} = 3 (x^{2} + 1)^{2}$

You need the inside's derivative: multiply by $2 x$ .

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