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+x^2)

解

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

解

y + 2 x

解答ステップ

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

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

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

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

= y + 2 x

人気の例

9(x^2+y^2)dx+7xydy=0

9 (x^{2} + y^{2}) d x + 7 x y d y = 0

sum from n=1 to infinity of (64)/(n^3)

n = 1 \sum \infty \frac{64}{n ^{3}}

integral of (6x^2-3x+1)/((4x+1)(x^2+1))

\int \frac{6 x ^{2} - 3 x + 1}{( 4 x + 1 ) ( x ^{2} + 1 )} d x

derivative y=2^{3x^2}

d er i v a t i v e y = 2^{3 x^{2}}

limit as x approaches a of (f(x))/(g(x))

x \to a lim (\frac{f ( x )}{g ( x )})