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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
Let f(x+y)=f(x)f(y)f\left( {x + y} \right) = f\left( x \right)f\left( y \right) for all x,y∈Rx,y \in R. f′(1)=2f'\left( 1 \right) = 2 and f(4)=4f\left( 4 \right) = 4, then f′(4)f'\left( 4 \right) equal to
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Correct option: D
8
Option D (8) is correct because by using the given functional equation and derivative information, we can find f'(4).

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