JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)

be a polynomial function and

g(x)=e^x

. If

h(x)=(f \circ g)(x)

, then

h^{\prime \prime}(x)

View answer and explanation

Correct option: D

f^{\prime \prime}\left(e^x\right) \cdot e^{2 x}+f^{\prime}\left(e^x\right) \cdot e^x

Option D (

f^{\prime \prime}(e^x) \cdot e^{2 x}+f^{\prime}(e^x) \cdot e^x

) is correct because it is the result of applying the chain rule twice to find the second derivative of the composite function h(x).

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