If f(x) =e^(x) g(x), g(0) = 2, g(0) =1 ,...

If `f(x) =e^(x) g(x), g(0) = 2, g(0) =1 , " then " f(0) =`

A

1

B

3

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:

B

We have,
`f(x)=e^(x)g(x)`
`implies" "f'(x)=e^(x)g(x)+e^(x)g'(x)`
`implies" "f'(0)=g(0)+g'(0)=2+1=3`

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