derivative y=-csc(x)-cos(x)

解

導関数

y = - csc (x) - cos (x)

cot (x) csc (x) + sin (x)

解答ステップ

\frac{d}{d x} (- csc (x) - cos (x))

和/差の法則を適用:

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

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= - (- cot (x) csc (x)) - (- sin (x))

簡素化

= cot (x) csc (x) + sin (x)