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 >

derivative of sqrt(1+(x^2))

解

\frac{d}{d x} (1 + (x)^{2})

解

\frac{x}{1 + x ^{2}}

解答ステップ

\frac{d}{d x} (1 + (x)^{2})

連鎖法則を適用:

\frac{1}{2 1 + x ^{2}} \frac{d}{d x} (1 + x^{2})

= \frac{1}{2 1 + x ^{2}} \frac{d}{d x} (1 + x^{2})

\frac{d}{d x} (1 + x^{2}) = 2 x

= \frac{1}{2 1 + x ^{2}} \cdot 2 x

簡素化

\frac{1}{2 1 + x ^{2}} \cdot 2 x : \frac{x}{1 + x ^{2}}

= \frac{x}{1 + x ^{2}}

グラフ

人気の例

integral of x9^x

\int x 9^{x} d x

integral of 1/(sqrt(26-x^2))

\int \frac{1}{26 - x ^{2}} d x

derivative of (4x+2/(x+1))

\frac{d}{d x} (\frac{4 x + 2}{x + 1})

integral of tan^5(5x)

\int tan^{5} (5 x) d x

integral of e/x+x/e

\int \frac{e}{x} + \frac{x}{e} d x