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If f(x+y)=f(x) xx f(y) for all x,y in R ...

If `f(x+y)=f(x) xx f(y)` for all `x,y in R` and` f(5)=2, f'(0)=3, then f'(5)=`

A

0

B

1

C

6

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Differentiating taking as constant, we get f (x+y) = f(x) `xx` f(y) [ we do so to have three variable functions] Putting y = 0 and x = 5, we get f(5) = f(5) `xx` f(0) = `2xx 3 =6`
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