derivative of-4tan(x-csc(x))

解答

\frac{d}{d x} (- 4 tan (x) - csc (x))

- 4 sec^{2} (x) + cot (x) csc (x)

求解步骤

\frac{d}{d x} (- 4 tan (x) - csc (x))

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4 tan (x)) = 4 sec^{2} (x)

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= - 4 sec^{2} (x) - (- cot (x) csc (x))

化简

= - 4 sec^{2} (x) + cot (x) csc (x)

\int_{0}^{1} 3 (1 + x)^{6} d x

\int r 4 - r^{2} - r^{2} d r

in v erse l a pl a ce \frac{1}{( s )}

d er i v a t i v e sin (sin (x))

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