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

解答

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

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

求解步骤

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

将

a, b, d

视为常数

使用微分加减法定则:

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

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

\frac{dd}{d x} = 0

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

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

\frac{d b}{d x} = 0

= 0 - (- \frac{2 d}{x ^{3}}) - a - 0

化简

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

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

\int ln ∣ e^{x y} cos (x) ∣ d y

\int t \cdot ln (t + 1) d t

\frac{d}{d x} (\frac{3}{x + 9})

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