(\partial)/(\partial x)((5x)/((3+y)))

解答

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

\frac{5}{3 + y}

求解步骤

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

将

y

视为常数

将常数提出:

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

= \frac{5}{3 + y} \frac{\partial}{\partial x} (x)

使用常见微分定则:

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

= \frac{5}{3 + y} \cdot 1

化简

= \frac{5}{3 + y}

y^{^{''}} - 2 y^{^{'}} = 2 x

d er i v a t i v e f (x) = x^{- \frac{2}{5}} + x^{\frac{2}{5}}

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

\int \frac{x - 2}{x ^{2} - 7 x + 12} d x

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