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JEE MATHEMATICS MCQ: FUNCTIONS

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If f(x)f(x) is the inverse of an invertible function, g(x)g(x) which is differentiable at x=2x=2, then f′(g(2))f^{\prime}(g(2)) equals
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Correct option: B
1g′(2)\frac{1}{g^{\prime}(2)}
Option B (1g′(2)\frac{{1}}{{g^{\prime}(2)}}) is correct because it follows from the derivative of the inverse function theorem.

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