de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 2(3-x^2)^7

Lösung

ableitung von

2 (3 - x^{2})^{7}

Lösung

- 28 x (3 - x^{2})^{6}

Schritte zur Lösung

\frac{d}{d x} (2 (3 - x^{2})^{7})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} ((3 - x^{2})^{7})

Wende die Kettenregel an:

7 (3 - x^{2})^{6} \frac{d}{d x} (3 - x^{2})

= 7 (3 - x^{2})^{6} \frac{d}{d x} (3 - x^{2})

\frac{d}{d x} (3 - x^{2}) = - 2 x

= 2 \cdot 7 (3 - x^{2})^{6} (- 2 x)

Vereinfache

= - 28 x (3 - x^{2})^{6}

Graph

Beliebte Beispiele

derivative of sqrt(cos(2x))

\frac{d}{d x} (cos (2 x))

integral of x/(sqrt(3-4x^2))

\int \frac{x}{3 - 4 x ^{2}} d x

limit as x approaches infinity of 91

x \to \infty lim (91)

integral of (2x)/(x^2+sqrt(2)x+1)

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

integral of (12x+5)

\int (12 x + 5) d x