de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 4e^x+8/(\sqrt[3]{x})

Lösung

\frac{d}{d x} (4 e^{x} + \frac{8}{3 x})

Lösung

4 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Schritte zur Lösung

\frac{d}{d x} (4 e^{x} + \frac{8}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 e^{x}) + \frac{d}{d x} (\frac{8}{3 x})

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

\frac{d}{d x} (\frac{8}{3 x}) = - \frac{8}{3 x ^{\frac{4}{3}}}

= 4 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

limit as x approaches 0 of ln^4(x)x

x \to 0 lim (ln^{4} (x) x)

taylor 1/(1-x),2

t a y l or \frac{1}{1 - x}, 2

derivative of x^2e^{kx}

\frac{d}{d x} (x^{2} e^{k x})

(\partial)/(\partial x)(ln(4)e^x)

\frac{\partial}{\partial x} (ln (4) e^{x})

4x^2*y^'=y^'+9x*e^{-y}

4 x^{2} \cdot y^{^{'}} = y^{^{'}} + 9 x \cdot e^{- y}