$$$32 y$$$的导数
您的输入
求$$$\frac{d}{dy} \left(32 y\right)$$$。
解答
对 $$$c = 32$$$ 和 $$$f{\left(y \right)} = y$$$ 应用常数倍法则 $$$\frac{d}{dy} \left(c f{\left(y \right)}\right) = c \frac{d}{dy} \left(f{\left(y \right)}\right)$$$:
$${\color{red}\left(\frac{d}{dy} \left(32 y\right)\right)} = {\color{red}\left(32 \frac{d}{dy} \left(y\right)\right)}$$应用幂法则 $$$\frac{d}{dy} \left(y^{n}\right) = n y^{n - 1}$$$,取 $$$n = 1$$$,也就是说,$$$\frac{d}{dy} \left(y\right) = 1$$$:
$$32 {\color{red}\left(\frac{d}{dy} \left(y\right)\right)} = 32 {\color{red}\left(1\right)}$$因此,$$$\frac{d}{dy} \left(32 y\right) = 32$$$。
答案
$$$\frac{d}{dy} \left(32 y\right) = 32$$$A
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