If and are differentiable functions

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If u(x)u(x) and v(x)v(x) are differentiable functions, which of the following equals ddx[u(x)v(x)]\dfrac{d}{dx}[u(x)v(x)]? (a) u′(x)v(x)−u(x)v′(x)u'(x)v(x)-u(x)v'(x) (b) u′(x)v′(x)u'(x)v'(x) (c) u′(x)v(x)+u(x)v′(x)u'(x)v(x)+u(x)v'(x) (d) u(x)v′(x)u(x)v'(x)

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