JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Suppose for a differentiable function

h, h(0)=0

h(1)=1

and

h^{\prime}(0)=h^{\prime}(1)=2

. If

g(x)=h\left(e^x\right) e^{h(x)}

, then

g^{\prime}(0)

is equal to:

View answer and explanation

Correct option: D

Option D (4) is correct because it is the value of the derivative of g(x) evaluated at x=0, calculated using the chain rule and product rule.

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