de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(1-x^3)

Lösung

\frac{d}{d x} (1 - x^{3})

Lösung

- \frac{3 x ^{2}}{2 1 - x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (1 - x^{3})

Wende die Kettenregel an:

\frac{1}{2 1 - x ^{3}} \frac{d}{d x} (1 - x^{3})

= \frac{1}{2 1 - x ^{3}} \frac{d}{d x} (1 - x^{3})

\frac{d}{d x} (1 - x^{3}) = - 3 x^{2}

= \frac{1}{2 1 - x ^{3}} (- 3 x^{2})

Vereinfache

\frac{1}{2 1 - x ^{3}} (- 3 x^{2}) : - \frac{3 x ^{2}}{2 1 - x ^{3}}

= - \frac{3 x ^{2}}{2 1 - x ^{3}}

Graph

Beliebte Beispiele

derivative f(x)=(2x-5)^3

d er i v a t i v e f (x) = (2 x - 5)^{3}

slopeintercept (-3.5)(6.2)

s l o p e in t erce pt (- 3.5) (6.2)

limit as x approaches 2 of 4x^2-2x-6

x \to 2 lim (4 x^{2} - 2 x - 6)

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

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

integral of 6sin(2x)-3cos(3x)

\int 6 sin (2 x) - 3 cos (3 x) d x