微积分学示例

f (x) = \frac{\sin (x)}{\cos (x)}

$f (x) = \frac{\sin (x)}{\cos (x)}$

解题步骤 1

将

\frac{\sin (x)}{\cos (x)}

$\frac{\sin (x)}{\cos (x)}$ 转换成

\tan (x)

$\tan (x)$ 。

\frac{d}{d x} [\tan (x)]

$\frac{d}{d x} [\tan (x)]$

解题步骤 2

\tan (x)

$\tan (x)$ 对

x

$x$ 的导数为

\sec^{2} (x)

$\sec^{2} (x)$ 。

\sec^{2} (x)

$\sec^{2} (x)$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$