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受欢迎的微积分 >

(\partial)/(\partial x)(((x-y))/(c(a-b)))

解答

\frac{\partial}{\partial x} (\frac{( x - y )}{c ( a - b )})

解答

\frac{1}{c ( a - b )}

求解步骤

\frac{\partial}{\partial x} (\frac{( x - y )}{c ( a - b )})

将

c, a, b, y

视为常数

将常数提出:

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

= \frac{1}{c ( a - b )} \frac{\partial}{\partial x} (x - y)

使用微分加减法定则:

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

= \frac{1}{c ( a - b )} (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (y))

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

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

= \frac{1}{c ( a - b )} (1 - 0)

化简

= \frac{1}{c ( a - b )}

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\int_{6}^{8} \frac{x}{x ^{2} + 6 x + 13} d x

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