de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (1/x)^3

Lösung

ableitung von

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

Lösung

- \frac{3}{x ^{4}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

3 (\frac{1}{x})^{2} (- \frac{1}{x ^{2}}) : - \frac{3}{x ^{4}}

= - \frac{3}{x ^{4}}

Graph

Beliebte Beispiele

tangent f(x)=(3x-1)/(x^2+1),\at x=6

t an g e n t f (x) = \frac{3 x - 1}{x ^{2} + 1}, at x = 6

integral from 1 to 2 of (4x^2-7x-12)/(x(x+2)(x-3))

\int_{1}^{2} \frac{4 x ^{2} - 7 x - 12}{x ( x + 2 ) ( x - 3 )} d x

derivative y=ln(x^2+5)

d er i v a t i v e y = ln (x^{2} + 5)

integral of (sin(2x)+cos(2x))

\int (sin (2 x) + cos (2 x)) d x

fläche y=x^2,y=2x-x^2

a re a y = x^{2}, y = 2 x - x^{2}