derivative y= x/6-6/x

解答

导数

y = \frac{x}{6} - \frac{6}{x}

\frac{1}{6} + \frac{6}{x ^{2}}

求解步骤

\frac{d}{d x} (\frac{x}{6} - \frac{6}{x})

使用微分加减法定则:

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

= \frac{d}{d x} (\frac{x}{6}) - \frac{d}{d x} (\frac{6}{x})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= \frac{1}{6} - (- \frac{6}{x ^{2}})

化简

= \frac{1}{6} + \frac{6}{x ^{2}}

\frac{\partial}{\partial x} (- 0.1 \cdot cos (6 \cdot x))

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

\int x sin (3 + 3 x) d x

\int (\frac{1}{5} x^{5} + \frac{1}{3} x^{4} - x) d x

x \to 0 lim ((1 - 2 x)^{(\frac{1}{x})})