$$$\pi t$$$的导数
您的输入
求$$$\frac{d}{dt} \left(\pi t\right)$$$。
解答
对 $$$c = \pi$$$ 和 $$$f{\left(t \right)} = t$$$ 应用常数倍法则 $$$\frac{d}{dt} \left(c f{\left(t \right)}\right) = c \frac{d}{dt} \left(f{\left(t \right)}\right)$$$：
$${\color{red}\left(\frac{d}{dt} \left(\pi t\right)\right)} = {\color{red}\left(\pi \frac{d}{dt} \left(t\right)\right)}$$应用幂法则 $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$，取 $$$n = 1$$$，也就是说，$$$\frac{d}{dt} \left(t\right) = 1$$$：
$$\pi {\color{red}\left(\frac{d}{dt} \left(t\right)\right)} = \pi {\color{red}\left(1\right)}$$因此，$$$\frac{d}{dt} \left(\pi t\right) = \pi$$$。
答案
$$$\frac{d}{dt} \left(\pi t\right) = \pi$$$A
Please try a new game Rotatly