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人気のある微分積分 >

derivative of x+2y

解

\frac{d}{d x} (x + 2 y)

解

1 + 2 \frac{d y}{d x}

解答ステップ

\frac{d}{d x} (x + 2 y)

和/差の法則を適用:

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

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

\frac{d x}{d x} = 1

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

= 1 + 2 \frac{d y}{d x}

人気の例

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

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

limit as x approaches-100 of 3x^2

x \to - 100 lim (3 x^{2})

derivative of 2x^2-3x

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

limit as x approaches 7 of 1/((x-7)^2)

x \to 7 lim (\frac{1}{( x - 7 ) ^{2}})

d/(dy)(1/y e^{xy}-ln(y^2))

\frac{d}{d y} (\frac{1}{y} e^{x y} - ln (y^{2}))