derivative 7+cot(x)-2csc(x)

解

導関数

7 + cot (x) - 2 csc (x)

2 cot (x) csc (x) - csc^{2} (x)

解答ステップ

\frac{d}{d x} (7 + cot (x) - 2 csc (x))

和/差の法則を適用:

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

= \frac{d}{d x} (7) + \frac{d}{d x} (cot (x)) - \frac{d}{d x} (2 csc (x))

\frac{d}{d x} (7) = 0

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

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

= 0 - csc^{2} (x) - (- 2 cot (x) csc (x))

簡素化

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