de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 5/(x^4)+\sqrt[3]{x^2}

Lösung

ableitung von

\frac{5}{x ^{4}} + 3 x^{2}

Lösung

- \frac{20}{x ^{5}} + \frac{2 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{5}{x ^{4}} + 3 x^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{5}{x ^{4}}) + \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

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

= - \frac{20}{x ^{5}} + \frac{2 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

derivative of (2xy/(x+y))

\frac{d}{d x} (\frac{2 x y}{x + y})

derivative of sqrt(154)

\frac{d}{d x} (154)

derivative ((4x^2)/(4-x))^3

d er i v a t i v e (\frac{4 x ^{2}}{4 - x})^{3}

(dy)/(dx)=(x-y)/(x+y)

\frac{d y}{d x} = \frac{x - y}{x + y}

limit as x approaches infinity of y

x \to \infty lim (y)