$$$\frac{e^{x}}{3}$$$의 도함수
사용자 입력
$$$\frac{d}{dx} \left(\frac{e^{x}}{3}\right)$$$을(를) 구하시오.
풀이
상수배 법칙 $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$을 $$$c = \frac{1}{3}$$$와 $$$f{\left(x \right)} = e^{x}$$$에 적용합니다:
$${\color{red}\left(\frac{d}{dx} \left(\frac{e^{x}}{3}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dx} \left(e^{x}\right)}{3}\right)}$$지수함수의 도함수는 $$$\frac{d}{dx} \left(e^{x}\right) = e^{x}$$$:
$$\frac{{\color{red}\left(\frac{d}{dx} \left(e^{x}\right)\right)}}{3} = \frac{{\color{red}\left(e^{x}\right)}}{3}$$따라서, $$$\frac{d}{dx} \left(\frac{e^{x}}{3}\right) = \frac{e^{x}}{3}$$$.
정답
$$$\frac{d}{dx} \left(\frac{e^{x}}{3}\right) = \frac{e^{x}}{3}$$$A
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