derivative x/(11)-(11)/x

解答

导数

\frac{x}{11} - \frac{11}{x}

\frac{1}{11} + \frac{11}{x ^{2}}

求解步骤

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

使用微分加减法定则:

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

= \frac{d}{d x} (\frac{x}{11}) - \frac{d}{d x} (\frac{11}{x})

\frac{d}{d x} (\frac{x}{11}) = \frac{1}{11}

\frac{d}{d x} (\frac{11}{x}) = - \frac{11}{x ^{2}}

= \frac{1}{11} - (- \frac{11}{x ^{2}})

化简

= \frac{1}{11} + \frac{11}{x ^{2}}

\int_{0}^{2 \cdot π} sin (t) d t

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

\int 4 x cos (9 x) d x

\frac{d}{d x} (\frac{1}{8} ln (\frac{3 x - 4}{3 x + 4}))

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