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 y)(e^y+x)

解

\frac{\partial}{\partial y} (e^{y} + x)

解

e^{y}

解答ステップ

\frac{\partial}{\partial y} (e^{y} + x)

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} (e^{y}) + \frac{\partial}{\partial y} (x)

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

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

= e^{y} + 0

簡素化

= e^{y}

人気の例

derivative f(x)= 5/(sqrt(x))

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

limit as x approaches 0 of e^3-e^{x+3}

x \to 0 lim (e^{3} - e^{x + 3})

integral from 1 to 7 of 6/(x^2)

\int_{1}^{7} \frac{6}{x ^{2}} d x

t^2y^{''}-2y=6t^2-1

t^{2} y^{^{''}} - 2 y = 6 t^{2} - 1

d/(dy)(y(2x+y^3))

\frac{d}{d y} (y (2 x + y^{3}))