JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

g

is the inverse of a function

f

and

f^{\prime}(x)=\frac{1}{1+x^n}

, then

g^{\prime}(x)

is equal to

View answer and explanation

Correct option: B

1+\{g(x)\}^n

Option B (

1+\{g(x)\}^n

) is correct because it directly follows from the inverse function differentiation rule.

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x

y

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[x]

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f(x)

y = {\sec ^{ - 1}}\left[ {\mathrm{cosec}x} \right] + \mathrm{cose}{\mathrm{c}^{ - 1}}\left[ {\sec x} \right] + {\sin ^{ - 1}}[\cos x] + {\cos ^{ - 1}}[\sin x],

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

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