derivative-4sin(x)-9ln(x)+11

解

導関数

- 4 sin (x) - 9 ln (x) + 11

- \frac{9}{x} - 4 cos (x)

解答ステップ

\frac{d}{d x} (- 4 sin (x) - 9 ln (x) + 11)

和/差の法則を適用:

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

= - \frac{d}{d x} (4 sin (x)) - \frac{d}{d x} (9 ln (x)) + \frac{d}{d x} (11)

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

\frac{d}{d x} (9 ln (x)) = \frac{9}{x}

\frac{d}{d x} (11) = 0

= - 4 cos (x) - \frac{9}{x} + 0

簡素化

= - \frac{9}{x} - 4 cos (x)