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 F(x)=(x^4+9x^2-7)^8

解

導関数

F (x) = (x^{4} + 9 x^{2} - 7)^{8}

解

8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

解答ステップ

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

連鎖法則を適用:

8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

= 8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

\frac{d}{d x} (x^{4} + 9 x^{2} - 7) = 4 x^{3} + 18 x

= 8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

グラフ

人気の例

integral from 3 to 9 of 8/x

\int_{3}^{9} \frac{8}{x} d x

limit as x approaches 4 of (7+x)/(4-x)

x \to 4 lim (\frac{7 + x}{4 - x})

limit as x approaches 0 of x/(sin^2(0))

x \to 0 lim (\frac{x}{sin ^{2} ( 0 )})

integral of (e^x)/(sqrt(1+e^{2x))}

\int \frac{e ^{x}}{1 + e ^{2 x}} d x

derivative of 1/(x^{14})

\frac{d}{d x} (\frac{1}{x ^{14}})