If f(x) = x^2 \sin x, then f'(x) =

x^2 \cos x + 2x \sin x (x^2)' \sin x + x^2 (\sin x)' = 2x \sin x + x^2 \cos x.

The Product Rule

AP Calculus AB· difficulty 2/5

f(x) = x^2 \sin x

Explanation

(x^2)' \sin x + x^2 (\sin x)' = 2x \sin x + x^2 \cos x

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