ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

(\partial)/(\partial x)(xy^2-e^y)

解

\frac{\partial}{\partial x} (x y^{2} - e^{y})

解

y^{2}

解答ステップ

\frac{\partial}{\partial x} (x y^{2} - e^{y})

y

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 x} (x y^{2}) - \frac{\partial}{\partial x} (e^{y})

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

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

= y^{2} - 0

簡素化

= y^{2}

人気の例

limit as x approaches 0 of x^2e^{-x}

x \to 0 lim (x^{2} e^{- x})

integral of (3x-1)/(x^2+10x+29)

\int \frac{3 x - 1}{x ^{2} + 10 x + 29} d x

limit as x approaches-2 of (x-4)/(x+2)

x \to - 2 lim (\frac{x - 4}{x + 2})

derivative (5x+6)/(4x+2)

d er i v a t i v e \frac{5 x + 6}{4 x + 2}

derivative of cos^6(x)

\frac{d}{d x} (cos^{6} (x))