(\partial)/(\partial x)(4x^{1/2}+y)

解答

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}} + y)

\frac{2}{x ^{\frac{1}{2}}}

求解步骤

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}} + y)

将

y

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial x} (4 x^{\frac{1}{2}}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}}) = \frac{2}{x ^{\frac{1}{2}}}

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

= \frac{2}{x ^{\frac{1}{2}}} + 0

化简

= \frac{2}{x ^{\frac{1}{2}}}

\int \frac{( x ^{2} - 3 x + 2 )}{x + 1} d x

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in v erse l a pl a ce \frac{8.2}{4.2 x ^{2} + 4 x + 5}