JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

g

be the inverse function of a differentiable function

f

and

G(x)=\frac{1}{g(x)}

. If

f(4)=2

and

f^{\prime}(4)=\frac{1}{16}

, then the value of

\left(G^{\prime}(2)\right)^2

equals to

View answer and explanation

Correct option: A

Option A (1) is correct because it is the square of the derivative of G(x) evaluated at x=2, found using the inverse function derivative.

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