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$$$6 e^{x}$$$的导数
您的输入
求$$$\frac{d}{dx} \left(6 e^{x}\right)$$$。
解答
对 $$$c = 6$$$ 和 $$$f{\left(x \right)} = e^{x}$$$ 应用常数倍法则 $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$：
$${\color{red}\left(\frac{d}{dx} \left(6 e^{x}\right)\right)} = {\color{red}\left(6 \frac{d}{dx} \left(e^{x}\right)\right)}$$指数函数的导数为 $$$\frac{d}{dx} \left(e^{x}\right) = e^{x}$$$：
$$6 {\color{red}\left(\frac{d}{dx} \left(e^{x}\right)\right)} = 6 {\color{red}\left(e^{x}\right)}$$因此，$$$\frac{d}{dx} \left(6 e^{x}\right) = 6 e^{x}$$$。
答案
$$$\frac{d}{dx} \left(6 e^{x}\right) = 6 e^{x}$$$A
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