Let be differentiable for all and let f(x) = (kx + e^x)h(x) where k is some constant

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let h(x)h(x) be differentiable for all xx and let f(x)=(kx+ex)h(x) where k is some constant.f(x) = (kx + e^x)h(x) \text{ where } k \text{ is some constant.} If h(0)=5,h′(0)=−2 and f′(0)=18, then the value of k is equal to ..... .\text{If } h(0) = 5, h'(0) = -2 \text{ and } f'(0) = 18, \text{ then the value of } k \text{ is equal to ..... .}

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