de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 6e^x+4/(\sqrt[3]{x})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (6 e^{x}) = 6 e^{x}

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

= 6 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

limit as x approaches 5 of 1/(x^2-1)

x \to 5 lim (\frac{1}{x ^{2} - 1})

derivative of (2x^2+8x+4/(sqrt(x)))

\frac{d}{d x} (\frac{2 x ^{2} + 8 x + 4}{x})

y^{^{''}} + 31 y = 0

derivative of-8x^{1/2}

\frac{d}{d x} (- 8 x^{\frac{1}{2}})

tangent sqrt(5x+6),\at x=6

t an g e n t 5 x + 6, at x = 6