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$$$4 \sin{\left(x \right)}$$$의 도함수
사용자 입력
$$$\frac{d}{dx} \left(4 \sin{\left(x \right)}\right)$$$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 $$$c = 4$$$와 $$$f{\left(x \right)} = \sin{\left(x \right)}$$$에 적용합니다:
$${\color{red}\left(\frac{d}{dx} \left(4 \sin{\left(x \right)}\right)\right)} = {\color{red}\left(4 \frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)}$$사인 함수의 도함수는 $$$\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}$$$:
$$4 {\color{red}\left(\frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)} = 4 {\color{red}\left(\cos{\left(x \right)}\right)}$$따라서, $$$\frac{d}{dx} \left(4 \sin{\left(x \right)}\right) = 4 \cos{\left(x \right)}$$$.
정답
$$$\frac{d}{dx} \left(4 \sin{\left(x \right)}\right) = 4 \cos{\left(x \right)}$$$A
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