Which expression equals for differentiable functions and ?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which expression equals ddx[f(x) h(x)]\dfrac{d}{dx}[f(x)\,h(x)] for differentiable functions ff and hh? (a) f′(x) h(x)f'(x)\,h(x) (b) f′(x) h′(x)f'(x)\,h'(x) (c) f′(x) h(x)+f(x) h′(x)f'(x)\,h(x)+f(x)\,h'(x) (d) f′(h(x)) h′(x)f'(h(x))\,h'(x)

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