|
|
|
|
|
|
|
|
|
|
|
|
$$$x$$$ 的二阶导数
您的输入
求$$$\frac{d^{2}}{dx^{2}} \left(x\right)$$$。
解答
求一阶导数 $$$\frac{d}{dx} \left(x\right)$$$
应用幂法则 $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$，取 $$$n = 1$$$，也就是说，$$$\frac{d}{dx} \left(x\right) = 1$$$：
$${\color{red}\left(\frac{d}{dx} \left(x\right)\right)} = {\color{red}\left(1\right)}$$因此，$$$\frac{d}{dx} \left(x\right) = 1$$$。
接下来，$$$\frac{d^{2}}{dx^{2}} \left(x\right) = \frac{d}{dx} \left(1\right)$$$
常数的导数是$$$0$$$:
$${\color{red}\left(\frac{d}{dx} \left(1\right)\right)} = {\color{red}\left(0\right)}$$因此，$$$\frac{d}{dx} \left(1\right) = 0$$$。
因此，$$$\frac{d^{2}}{dx^{2}} \left(x\right) = 0$$$。
答案
$$$\frac{d^{2}}{dx^{2}} \left(x\right) = 0$$$A
Please try a new game Rotatly