JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

y=f(x)

and

x=g(y)

are inverse functions of each other, then

View answer and explanation

Correct option: B

g^{\prime \prime}(y)=-\frac{f^{\prime \prime}(x)}{\left(f^{\prime}(x)\right)^3}

Option B (

g^{\prime \prime}(y)=-\frac{f^{\prime \prime}(x)}{\left(f^{\prime}(x)\right)^3}

) is correct because it is the correct second derivative of the inverse function, derived using the chain rule.

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x

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

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