de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=(x^5)/5+1/(12x^3)

Lösung

ableitung von

f (x) = \frac{x ^{5}}{5} + \frac{1}{12 x ^{3}}

Lösung

x^{4} - \frac{1}{4 x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{5}}{5} + \frac{1}{12 x ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{5}}{5}) + \frac{d}{d x} (\frac{1}{12 x ^{3}})

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

\frac{d}{d x} (\frac{1}{12 x ^{3}}) = - \frac{1}{4 x ^{4}}

= x^{4} - \frac{1}{4 x ^{4}}

Graph

Beliebte Beispiele

tangent y=sin(2x)+sin(2)(2x)

t an g e n t y = sin (2 x) + sin (2) (2 x)

limit as x approaches-pi/2 of 2tan(x)

x \to - \frac{π}{2} lim (2 tan (x))

derivative of (e^{x+1}/(x^2+1))

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

d/(dt)(-2sin(t))

\frac{d}{d t} (- 2 sin (t))

steigung (10.8)(1.3)

s l o p e (10.8) (1.3)