derivative of 2x-4/(sqrt(x))

解答

\frac{d}{d x} (2 x - \frac{4}{x})

2 + \frac{2}{x ^{\frac{3}{2}}}

求解步骤

\frac{d}{d x} (2 x - \frac{4}{x})

使用微分加减法定则:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (2 x) = 2

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

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

化简

= 2 + \frac{2}{x ^{\frac{3}{2}}}

\int \frac{x ^{2}}{81 + x ^{2}} d x

\int_{0}^{1} sin (π \cdot x) d x

x \to 3 lim (\frac{x ^{2} - 2}{x - 3})

5 x (x + 6 y) y^{^{'}} = 5 y (x - 6 y)

l a pl a ce t r an s f or m 10 e^{2 t}