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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
Let ff and gg be differentiable functions satisfying g′(a)=2,g(a)=bg^{\prime}(a)=2, g(a)=b and fog=Ifog=I (identity function). Then, f′(b)f^{\prime}(b) is equal to
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Correct option: C
12\frac{1}{2}
Option C is correct because it correctly applies the chain rule and the properties of inverse functions to find the derivative.

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