derivative sqrt(1/(x^3))

解答

导数

\frac{1}{x ^{3}}

- \frac{3 x ^{2}}{2 x ^{\frac{7}{2}}}

求解步骤

\frac{d}{d x} (\frac{1}{x ^{3}})

使用连锁律:

\frac{1}{2 \frac{1}{x ^{3}}} \frac{d}{d x} (\frac{1}{x ^{3}})

= \frac{1}{2 \frac{1}{x ^{3}}} \frac{d}{d x} (\frac{1}{x ^{3}})

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

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

化简

\frac{1}{2 \frac{1}{x ^{3}}} (- \frac{3}{x ^{4}}) : - \frac{3 x ^{2}}{2 x ^{\frac{7}{2}}}

= - \frac{3 x ^{2}}{2 x ^{\frac{7}{2}}}

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

d er i v a t i v e f (x) = 8^{x}

d er i v a t i v e (2 x - 3)^{3} (x^{4} + 1)^{2}

y^{^{''}} + b \cdot y = 0

\int_{1}^{2} \frac{6}{x ^{3} + 4 x} d x