de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=4(6-x^2)^5

Lösung

ableitung von

y = 4 (6 - x^{2})^{5}

Lösung

- 40 x (6 - x^{2})^{4}

Schritte zur Lösung

\frac{d}{d x} (4 (6 - x^{2})^{5})

Entferne die Konstante:

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

= 4 \frac{d}{d x} ((6 - x^{2})^{5})

Wende die Kettenregel an:

5 (6 - x^{2})^{4} \frac{d}{d x} (6 - x^{2})

= 5 (6 - x^{2})^{4} \frac{d}{d x} (6 - x^{2})

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

= 4 \cdot 5 (6 - x^{2})^{4} (- 2 x)

Vereinfache

= - 40 x (6 - x^{2})^{4}

Graph

Beliebte Beispiele

integral of 4m(9m^2-10m)

\int 4 m (9 m^{2} - 10 m) d m

derivative ln(15x)

d er i v a t i v e ln (15 x)

derivative f(x)=x^{12}

d er i v a t i v e f (x) = x^{12}

limit as x approaches-3 of (3x+1)/(x-3)

x \to - 3 lim (\frac{3 x + 1}{x - 3})

(\partial)/(\partial x)((x^5+y^3)^7)

\frac{\partial}{\partial x} ((x^{5} + y^{3})^{7})