JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f

be a one-one function satisfying

f^{\prime}(x)=f(x)

then

\left(f^{-1}\right)^{\prime \prime}(x)

is equal to

View answer and explanation

Correct option: B

-1 / x^2

Option B (

-1 / x^2

) is correct because it is the second derivative of the inverse function, calculated using the chain rule and the given condition.

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x

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\frac{{dy}}{{dx}}

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v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}