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人気のある >

(\partial)/(\partial y)(2xy-6y)

解

\frac{\partial}{\partial y} (2 x y - 6 y)

解

2 x - 6

解答ステップ

\frac{\partial}{\partial y} (2 x y - 6 y)

x

を定数として扱う

和/差の法則を適用:

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

= \frac{\partial}{\partial y} (2 x y) - \frac{\partial}{\partial y} (6 y)

\frac{\partial}{\partial y} (2 x y) = 2 x

\frac{\partial}{\partial y} (6 y) = 6

= 2 x - 6

人気の例

integral of e^{-1/x}

\int e^{- \frac{1}{x}} d x

(\partial)/(\partial x)(f(x,y)(x+y))

\frac{\partial}{\partial x} (f (x, y) (x + y))

integral from 0 to 1 of (r^3)/(4+r^2)

\int_{0}^{1} \frac{r ^{3}}{4 + r ^{2}} d r

limit as x approaches 2 of (5-x)/(x-2)

x \to 2 lim (\frac{5 - x}{x - 2})

derivative of (sin(x-x)/(x^3))

\frac{d}{d x} (\frac{sin ( x ) - x}{x ^{3}})