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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If f(x+y)=f(x)⋅f(y)∀x⋅yf(x+y)=f(x) \cdot f(y) \forall x \cdot y and f(5)=2f(5)=2, f′(0)=3f^{\prime}(0)=3, then f′(5)f^{\prime}(5) is
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Correct option: C
6
Option C (6) is correct because f′(5)f'(5) is calculated to be 6 using the given functional equation and derivative at 0.

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