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Let h(x) be differentiable for all x and let `f(x) = (kx=e^(x)) h(x) where k is some constant. If h(0)=5, `h^(')(0) = -2` and `f^(')(0) =18` then the value of k is equal to

A

5

B

4

C

3

D

2.2

Text Solution

Verified by Experts

`f'(x)=(kx+e^(x))h'(x)+h(x)(k+e^(x))`
`f'(0)=h'(0)+h(0)(k+1)`
`"or "18=-2+5(k+1)or k=3`
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