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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
Let ff and gg be differentiable functions satisfying g′(a)=2,g(a)=bg'\left( a \right) = 2,g\left( a \right) = b and fog=Ifog = I (identify function). Then, f′(b)f'\left( b \right) is equal to
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Correct option: A
12\frac{1}{2}
Option A (1/2) is correct because, given fog = I, the derivative f'(b) can be found using the chain rule and the fact that g'(a) = 2 and g(a) = b.

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