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 (1+x^2)^2

解

導関数

(1 + x^{2})^{2}

解

4 x (1 + x^{2})

解答ステップ

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

連鎖法則を適用:

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

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

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

= 2 (1 + x^{2}) \cdot 2 x

簡素化

= 4 x (1 + x^{2})

グラフ

人気の例

integral of (7x^5+6x^4-3x^3-9x+5)

\int (7 x^{5} + 6 x^{4} - 3 x^{3} - 9 x + 5) d x

integral of (x^2-64)/(x(x-1)^2)

\int \frac{x ^{2} - 64}{x ( x - 1 ) ^{2}} d x

integral of 1/(ysqrt(1+(ln(y))^2))

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

derivative y=((x^2+1))/((x^3-1))

d er i v a t i v e y = \frac{( x ^{2} + 1 )}{( x ^{3} - 1 )}

integral of sec(t)(8sec(t)+5tan(t))

\int sec (t) (8 sec (t) + 5 tan (t)) d t