(\partial)/(\partial x)(sqrt((x+5)/(y+2)))

解答

\frac{\partial}{\partial x} (\frac{x + 5}{y + 2})

\frac{1}{2 x + 5 y + 2}

求解步骤

\frac{\partial}{\partial x} (\frac{x + 5}{y + 2})

将

y

视为常数

使用连锁律:

\frac{1}{2 \frac{x + 5}{y + 2}} \frac{\partial}{\partial x} (\frac{x + 5}{y + 2})

= \frac{1}{2 \frac{x + 5}{y + 2}} \frac{\partial}{\partial x} (\frac{x + 5}{y + 2})

\frac{\partial}{\partial x} (\frac{x + 5}{y + 2}) = \frac{1}{y + 2}

= \frac{1}{2 \frac{x + 5}{y + 2}} \cdot \frac{1}{y + 2}

化简

\frac{1}{2 \frac{x + 5}{y + 2}} \cdot \frac{1}{y + 2} : \frac{1}{2 x + 5 y + 2}

= \frac{1}{2 x + 5 y + 2}

\int \frac{1}{8 x ^{3}} d x

x \to \infty lim (n 3^{n} + 9^{n})

a re a y = \frac{1}{5} x^{2} - \frac{6}{5} x + \frac{7}{5}, (- 5, 5)

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

\int ln^{2} (x) d x