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Let f (x+y) =f (x) f(y) and f(x)=1 +si...

Let f (x+y) =f (x) f(y) and f(x)=1 +sin (3x) g(x) , where g(x) is continuous , then f '(x) is : a)f(x) g(0) b)3g(0) c)f(x) cos (x) d)3f(x)g(0)

A

`3f(x)`

B

`g(0)`

C

`f(x)g(0)`

D

`3g(x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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