derivative x+1/(x^2)

解答

导数

x + \frac{1}{x ^{2}}

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

求解步骤

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d x}{d x} = 1

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

= 1 - \frac{2}{x ^{3}}

\int \frac{x ^{3}}{x ^{2} - 2 x + 1} d x

n = 2 \sum \infty \frac{6}{5 ^{n}}

\int cos^{4} (x s i) n^{3} x d x

\int_{1}^{4} \frac{u - 2}{u} d u

\frac{\partial}{\partial y} ((x^{2} y - y^{3})^{5})