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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x+y)=2f(x)f(y),fβ€²(5)=1024(log⁑2)f\left( {x + y} \right) = 2f\left( x \right)f\left( y \right),f'\left( 5 \right) = 1024\left( {\log 2} \right) and f(2)=8,f\left( 2 \right) = 8, then the value of fβ€²(3)f'\left( 3 \right) is
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Correct option: A
64(log⁑2)64\left( {\log 2} \right)
Option A (64(log⁑2)64\left( {\log 2} \right)) is correct because it is the value of fβ€²(3)f'(3) obtained after using the given functional equation and derivative information.

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