JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

f(x)=x+\sin x

. Suppose

g

denotes the inverse function of

f

. The value of

g^{\prime}\left(\frac{\pi}{4}+\frac{1}{\sqrt{2}}\right)

has the value equal to

View answer and explanation

Correct option: C

2-\sqrt{2}

Option C (

2-\sqrt{2}

) is correct because it is the value of the derivative of the inverse function

g

evaluated at the given point, calculated using the derivative of the original function

f

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