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 ln(1+x^2)

解

導関数

ln (1 + x^{2})

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

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

グラフ

人気の例

(\partial)/(\partial y)(6y^2e^{6xy})

\frac{\partial}{\partial y} (6 y^{2} e^{6 x y})

derivative of x^4-12x^3+48x^2-64x

\frac{d}{d x} (x^{4} - 12 x^{3} + 48 x^{2} - 64 x)

integral of (x-1)/((2x+5)(x-8))

\int \frac{x - 1}{( 2 x + 5 ) ( x - 8 )} d x

integral of 1/(t^2sqrt(289-t^2))

\int \frac{1}{t ^{2} 289 - t ^{2}} d t

integral from-7 to 7 of 1/2 (49-x^2)

\int_{- 7}^{7} \frac{1}{2} (49 - x^{2}) d x