Let be differentiable for all and let

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

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) 55 (b) 44 (c) 33 (d) 2.22.2

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