|
|
|
|
|
|
|
|
|
|
|
|
$$$\frac{\cos{\left(t \right)}}{3}$$$的导数
您的输入
求$$$\frac{d}{dt} \left(\frac{\cos{\left(t \right)}}{3}\right)$$$。
解答
对 $$$c = \frac{1}{3}$$$ 和 $$$f{\left(t \right)} = \cos{\left(t \right)}$$$ 应用常数倍法则 $$$\frac{d}{dt} \left(c f{\left(t \right)}\right) = c \frac{d}{dt} \left(f{\left(t \right)}\right)$$$：
$${\color{red}\left(\frac{d}{dt} \left(\frac{\cos{\left(t \right)}}{3}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dt} \left(\cos{\left(t \right)}\right)}{3}\right)}$$余弦函数的导数是$$$\frac{d}{dt} \left(\cos{\left(t \right)}\right) = - \sin{\left(t \right)}$$$：
$$\frac{{\color{red}\left(\frac{d}{dt} \left(\cos{\left(t \right)}\right)\right)}}{3} = \frac{{\color{red}\left(- \sin{\left(t \right)}\right)}}{3}$$因此，$$$\frac{d}{dt} \left(\frac{\cos{\left(t \right)}}{3}\right) = - \frac{\sin{\left(t \right)}}{3}$$$。
答案
$$$\frac{d}{dt} \left(\frac{\cos{\left(t \right)}}{3}\right) = - \frac{\sin{\left(t \right)}}{3}$$$A
Please try a new game Rotatly