JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f(x)=e^x, g(x)=e^{-x}

and

h(x)=g(f(x))

. Then

h^{\prime}(0)

is equal to

View answer and explanation

Correct option: A

\frac{-1}{e}

Option A (-1/e) is correct because it is the value of the derivative of h(x) = e^{(-e^x)} evaluated at x=0.

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