derivative of 4cot(1/4 x)

解答

\frac{d}{d x} (4 cot (\frac{1}{4} x))

- csc^{2} (\frac{x}{4})

求解步骤

\frac{d}{d x} (4 cot (\frac{1}{4} x))

化简

4 cot (\frac{1}{4} x) : 4 cot (\frac{x}{4})

= \frac{d}{d x} (4 cot (\frac{x}{4}))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (cot (\frac{x}{4}))

使用连锁律:

- csc^{2} (\frac{x}{4}) \frac{d}{d x} (\frac{x}{4})

= - csc^{2} (\frac{x}{4}) \frac{d}{d x} (\frac{x}{4})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= 4 (- csc^{2} (\frac{x}{4}) \frac{1}{4})

化简

4 (- csc^{2} (\frac{x}{4}) \frac{1}{4}) : - csc^{2} (\frac{x}{4})

= - csc^{2} (\frac{x}{4})

\int (3 x + 1) cos (x) d x

in v erse l a pl a ce \frac{18}{s ^{2} + 5 s + 6} + \frac{6}{s}

\frac{d}{d x} ((\frac{x}{x ^{2} + 1})^{2})

x \to e lim (\frac{1}{2} ln (x))

\frac{d}{d x} (sin ((π x)^{9}))