de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 20ln(3x+1)-x/3

Lösung

ableitung von

20 ln (3 x + 1) - \frac{x}{3}

Lösung

\frac{60}{3 x + 1} - \frac{1}{3}

Schritte zur Lösung

\frac{d}{d x} (20 ln (3 x + 1) - \frac{x}{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (20 ln (3 x + 1)) - \frac{d}{d x} (\frac{x}{3})

\frac{d}{d x} (20 ln (3 x + 1)) = \frac{60}{3 x + 1}

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

= \frac{60}{3 x + 1} - \frac{1}{3}

Graph

Beliebte Beispiele

x(x-2)(dy)/(dx)+2y=0

x (x - 2) \frac{d y}{d x} + 2 y = 0

derivative of 4x^3+1/(x^2)

\frac{d}{d x} (4 x^{3} + \frac{1}{x ^{2}})

derivative of ((x+4/(x-4))^5)

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

derivative of 8sin(x-x)

\frac{d}{d x} (8 sin (x) - x)

integral of e^{-xy}sin(x)

\int e^{- x y} sin (x) d x