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