d/(dy)((4-y)^{1/3})

解答

\frac{d}{d y} ((4 - y)^{\frac{1}{3}})

- \frac{1}{3 ( 4 - y ) ^{\frac{2}{3}}}

求解步骤

\frac{d}{d y} ((4 - y)^{\frac{1}{3}})

使用连锁律:

\frac{1}{3 ( 4 - y ) ^{\frac{2}{3}}} \frac{d}{d y} (4 - y)

= \frac{1}{3 ( 4 - y ) ^{\frac{2}{3}}} \frac{d}{d y} (4 - y)

\frac{d}{d y} (4 - y) = - 1

= \frac{1}{3 ( 4 - y ) ^{\frac{2}{3}}} (- 1)

化简

= - \frac{1}{3 ( 4 - y ) ^{\frac{2}{3}}}

x \to 0 lim (3 x + 5)

y^{^{'}} - \frac{6}{x} y = \frac{y ^{5}}{x ^{20}}, y (1) = 1

s l o p e - 3 x^{4} + 11 x^{2}

\frac{\partial}{\partial y} (\frac{1 + x ^{2}}{3 y - y ^{2}})

\frac{d}{d j} (2 i + 3 j)