derivative 8/y-5/(-y)

解

導関数

\frac{8}{y} - \frac{5}{- y}

- \frac{13}{y ^{2}}

解答ステップ

\frac{d}{d y} (\frac{8}{y} - \frac{5}{- y})

和/差の法則を適用:

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

= \frac{d}{d y} (\frac{8}{y}) - \frac{d}{d y} (\frac{5}{- y})

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

\frac{d}{d y} (\frac{5}{- y}) = \frac{5}{y ^{2}}

= - \frac{8}{y ^{2}} - \frac{5}{y ^{2}}

簡素化

- \frac{8}{y ^{2}} - \frac{5}{y ^{2}} : - \frac{13}{y ^{2}}

= - \frac{13}{y ^{2}}