Let be differentiable for all and let

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

Problem

Let h(x)h(x) be differentiable for all xx and let f(x)=(kx+ex)h(x)f(x)=(kx+e^x)h(x), where kk is a constant. If h(0)=5h(0)=5, h′(0)=−2h'(0)=-2, and f′(0)=18f'(0)=18, then the value of kk is: (a) 5 (b) 4 (c) 3 (d) 2.2

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