de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of-4x^{1/4}+3x^{-6}

Lösung

\frac{d}{d x} (- 4 x^{\frac{1}{4}} + 3 x^{- 6})

Lösung

\frac{- x ^{7} - 18 x ^{\frac{3}{4}}}{x ^{\frac{31}{4}}}

Schritte zur Lösung

\frac{d}{d x} (- 4 x^{\frac{1}{4}} + 3 x^{- 6})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (4 x^{\frac{1}{4}}) + \frac{d}{d x} (3 x^{- 6})

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

\frac{d}{d x} (3 x^{- 6}) = - \frac{18}{x ^{7}}

= - \frac{1}{x ^{\frac{3}{4}}} - \frac{18}{x ^{7}}

Vereinfache

- \frac{1}{x ^{\frac{3}{4}}} - \frac{18}{x ^{7}} : \frac{- x ^{7} - 18 x ^{\frac{3}{4}}}{x ^{\frac{31}{4}}}

= \frac{- x ^{7} - 18 x ^{\frac{3}{4}}}{x ^{\frac{31}{4}}}

Graph

Beliebte Beispiele

derivative f(x)=8xe^x

d er i v a t i v e f (x) = 8 x e^{x}

(dy)/(dt)=0.75y-0.00003y^2

\frac{d y}{d t} = 0.75 y - 0.00003 y^{2}

derivative sqrt(t+1)

d er i v a t i v e t + 1

integral of (8x-3)ln(x)

\int (8 x - 3) ln (x) d x

integral from 0 to 4 of 2x+4

\int_{0}^{4} 2 x + 4 d x