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GO Classes Test Series 2023 | Calculus | Test 1 | Question: 17

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$$
\begin{aligned}
&\text { We have, } f(x)=e^{x} g(x) \\
&\Rightarrow f^{\prime}(x)=e^{x} g(x)+e^{x} g^{\prime}(x) \\
&\Rightarrow f^{\prime}(0)=e^{0} g(0)+e^{0} g^{\prime}(0)=2+1=3.
\end{aligned}
$$
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