If f(x) = e^x g(x),g(0) = 2,g'(0) = 1, then f'(0) is - Vidyadip

MCQ

If $f(x) = {e^x}g(x),g(0) = 2,g'(0) = 1$, then $f'(0)$ is

A
$1$
✓
$3$
C
$2$
D
$0$

✓

Answer

Correct option: B.

$3$

b
(b) $f(x) = {e^x}g(x) \Rightarrow f'(x) = {e^x}g(x) + {e^x}g'(x)$

$ \Rightarrow f'(0) = g(0) + g'(0) = 2 + 1 = 3$.

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