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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If ff and gg are differentiable functions such that g′(a)=2g^{\prime}(a)=2 and g(a)=bg(a)=b and if f∘gf \circ g is an identity function, then f′(b)f^{\prime}(b) has the value equal to
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Correct option: D
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Option D (12\frac{1}{2}) is correct because it is the value of f'(b) calculated using the properties of inverse functions and the chain rule.

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