de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (x-2/x ^4)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

tangent f(x)=2x^2,\at x=0

t an g e n t f (x) = 2 x^{2}, at x = 0

integral of 4x^{-3}

\int 4 x^{- 3} d x

integral of 1/((x+1)(x-1))

\int \frac{1}{( x + 1 ) ( x - 1 )} d x

derivative f(x)=(2x-4)(2x^3-x^2+1)

d er i v a t i v e f (x) = (2 x - 4) (2 x^{3} - x^{2} + 1)

tangent y= 1/((1+x^2))

t an g e n t y = \frac{1}{( 1 + x ^{2} )}