derivative of sqrt((-x^3+10/4))

解答

\frac{d}{d x} (\frac{- x ^{3} + 10}{4})

- \frac{3 x ^{2}}{4 - x ^{3} + 10}

求解步骤

\frac{d}{d x} (\frac{- x ^{3} + 10}{4})

使用连锁律:

\frac{1}{2 \frac{- x ^{3} + 10}{4}} \frac{d}{d x} (\frac{- x ^{3} + 10}{4})

= \frac{1}{2 \frac{- x ^{3} + 10}{4}} \frac{d}{d x} (\frac{- x ^{3} + 10}{4})

\frac{d}{d x} (\frac{- x ^{3} + 10}{4}) = - \frac{3 x ^{2}}{4}

= \frac{1}{2 \frac{- x ^{3} + 10}{4}} (- \frac{3 x ^{2}}{4})

化简

\frac{1}{2 \frac{- x ^{3} + 10}{4}} (- \frac{3 x ^{2}}{4}) : - \frac{3 x ^{2}}{4 - x ^{3} + 10}

= - \frac{3 x ^{2}}{4 - x ^{3} + 10}

\int e^{2 s i n (3 x)} cos (3 x) d x

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

f (x) = \frac{10}{x}

x \to 2 lim (\frac{x ^{2}}{x ^{2} - 4})

\frac{d}{d x} (cos (x) d x)