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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
Let f(x)=x+sin⁡x,f(x) = x + \sin x, suppose gg denotes the inverse function of f.f. Then, find the value of g′(π4+12)g'\left( {\frac{\pi }{4} + \frac{1}{{\sqrt 2 }}} \right)
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Correct option: C
2−22 - \sqrt 2
Option C (2−22 - \sqrt 2) is correct because it is the value of the derivative of the inverse function g at the given point, calculated using the derivative of f.

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