(d^2)/(dy^2)((S)(3-(147)/(y^2)))

解

\frac{d ^{2}}{d y ^{2}} ((S (y)) (3 - \frac{147}{y ^{2}}))

\frac{d ^{2} S}{d y ^{2}} (3 - \frac{147}{y ^{2}}) + \frac{588 y \frac{d S}{d y} - 882 S}{y ^{4}}

解答ステップ

\frac{d ^{2}}{d y ^{2}} ((S) (3 - \frac{147}{y ^{2}}))

\frac{d}{d y} (S (3 - \frac{147}{y ^{2}})) = \frac{d S}{d y} (3 - \frac{147}{y ^{2}}) + \frac{294 S}{y ^{3}}

= \frac{d}{d y} (\frac{d S}{d y} (3 - \frac{147}{y ^{2}}) + \frac{294 S}{y ^{3}})

\frac{d}{d y} (\frac{d S}{d y} (3 - \frac{147}{y ^{2}}) + \frac{294 S}{y ^{3}}) = \frac{d ^{2} S}{d y ^{2}} (3 - \frac{147}{y ^{2}}) + \frac{588 y \frac{d S}{d y} - 882 S}{y ^{4}}

= \frac{d ^{2} S}{d y ^{2}} (3 - \frac{147}{y ^{2}}) + \frac{588 y \frac{d S}{d y} - 882 S}{y ^{4}}