derivative 75(1-8/x)

解

導関数

75 (1 - \frac{8}{x})

\frac{600}{x ^{2}}

解答ステップ

\frac{d}{d x} (75 (1 - \frac{8}{x}))

定数を除去:

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

= 75 \frac{d}{d x} (1 - \frac{8}{x})

和/差の法則を適用:

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

= 75 (\frac{d}{d x} (1) - \frac{d}{d x} (\frac{8}{x}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= 75 (0 - (- \frac{8}{x ^{2}}))

簡素化

75 (0 - (- \frac{8}{x ^{2}})) : \frac{600}{x ^{2}}

= \frac{600}{x ^{2}}