JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f(x)=x+\tan x

and

f

is inverse of

g

, then

g^{\prime}(x)

is equal to

View answer and explanation

Correct option: C

\frac{1}{2+(g(x)-x)^{2}}

Option C (

\frac{{1}}{{2+(g(x)-x)^{{2}}}}

) is correct because by differentiating the equation x = g(x) + tan(g(x)) and solving for g'(x), we obtain the given expression.

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x

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[x]

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