(\partial)/(\partial x)((x-y)/(30-y))

解答

\frac{\partial}{\partial x} (\frac{x - y}{30 - y})

\frac{1}{30 - y}

求解步骤

\frac{\partial}{\partial x} (\frac{x - y}{30 - y})

将

y

视为常数

将常数提出:

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

= \frac{1}{30 - y} \frac{\partial}{\partial x} (x - y)

使用微分加减法定则:

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

= \frac{1}{30 - y} (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (y))

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

\frac{\partial}{\partial x} (y) = 0

= \frac{1}{30 - y} (1 - 0)

化简

= \frac{1}{30 - y}

\frac{d}{d x} (ln (3^{x} sec^{3} (4 x)))

\int_{- 2}^{5} 2 e^{x} (5 x^{2} + 3) d x

\int x 4 + x d x

n or ma l f (x) = x^{3} - 3 x^{2} + 5, at x = - 1

\int_{0}^{6} 2