d/(dr(x))((x)((r(x)^2)/4-r(x)s+s^2))

解

\frac{d ^{2}}{d r ( x ) d x} ((x) (\frac{r ( x ) ( x ) ^{2}}{4} - r (x) s + s^{2}))

- s + \frac{3 x ^{2}}{4}

解答ステップ

\frac{d ^{2}}{d r ( x ) d x} ((x) (\frac{r ( x ) ( x ) ^{2}}{4} - r (x) s + s^{2}))

\frac{d}{d r ( x )} (x (\frac{r ( x ) x ^{2}}{4} - r (x) s + s^{2})) = x (\frac{x ^{2}}{4} - s)

= \frac{d}{d x} (x (\frac{x ^{2}}{4} - s))

\frac{d}{d x} (x (\frac{x ^{2}}{4} - s)) = - s + \frac{3 x ^{2}}{4}

= - s + \frac{3 x ^{2}}{4}