derivative of-ax+d/(x^2)

解答

\frac{d}{d x} (- a x + \frac{d}{x ^{2}})

- a - \frac{2 d}{x ^{3}}

求解步骤

\frac{d}{d x} (- a x + \frac{d}{x ^{2}})

将

a, d

视为常数

使用微分加减法定则:

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

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

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

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

= - a - \frac{2 d}{x ^{3}}

in v erse l a pl a ce \frac{s}{( s ^{2} + 1 ) ( s ^{2} - 2 s + 2 )}

\int \frac{x - 5}{x ^{2} + 9} d x

\int x^{2} sin (2 A x) d x

\frac{d y}{d x} = 4 y e^{x + 10}

\frac{d}{d x} (\frac{2 x + 2 x ^{\frac{1}{2}}}{6 + x ^{\frac{3}{2}}})