|
|
|
|
|
|
|
|
|
|
|
|
$$$- x^{8}$$$ 的導數
您的輸入
求$$$\frac{d}{dx} \left(- x^{8}\right)$$$。
解答
套用常數倍法則 $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$，使用 $$$c = -1$$$ 與 $$$f{\left(x \right)} = x^{8}$$$：
$${\color{red}\left(\frac{d}{dx} \left(- x^{8}\right)\right)} = {\color{red}\left(- \frac{d}{dx} \left(x^{8}\right)\right)}$$套用冪次法則 $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$，取 $$$n = 8$$$：
$$- {\color{red}\left(\frac{d}{dx} \left(x^{8}\right)\right)} = - {\color{red}\left(8 x^{7}\right)}$$因此，$$$\frac{d}{dx} \left(- x^{8}\right) = - 8 x^{7}$$$。
答案
$$$\frac{d}{dx} \left(- x^{8}\right) = - 8 x^{7}$$$A
Please try a new game Rotatly