(\partial}{\partial x}(-\frac{2x)/y)

解答

\frac{\partial}{\partial x} (- \frac{2 x}{y})

- \frac{2}{y}

求解步骤

\frac{\partial}{\partial x} (- \frac{2 x}{y})

将

y

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{2}{y} \frac{\partial}{\partial x} (x)

使用常见微分定则:

\frac{\partial}{\partial x} (x) = 1

= - \frac{2}{y} \cdot 1

化简

= - \frac{2}{y}

a re a y = 4 x - x^{2}, y = - 6 x

x \to 8 lim (x^{2} - 64)

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

\int x x^{2} - 1 d x

\int_{1}^{32} x^{- \frac{6}{5}} d x