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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x+y)=f(x)f(y)f\left( {x + y} \right) = f\left( x \right)f\left( y \right) for all x,y∈R,f(5)=2,f′(0)=3x,y \in R,f\left( 5 \right) = 2,f'\left( 0 \right) = 3. Then f′(5)f'\left( 5 \right) equals
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Correct option: A
6
Option A (6) is correct because by using the given functional equation and derivative information, we can find f'(5).

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