de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative g(x)=ln^3(x)

Lösung

ableitung von

g (x) = ln^{3} (x)

Lösung

\frac{3 ln ^{2} ( x )}{x}

Schritte zur Lösung

\frac{d}{d x} (ln^{3} (x))

Wende die Kettenregel an:

3 (ln (x))^{2} \frac{d}{d x} (ln (x))

= 3 (ln (x))^{2} \frac{d}{d x} (ln (x))

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

= 3 (ln (x))^{2} \frac{1}{x}

Vereinfache

3 ln^{2} (x) \frac{1}{x} : \frac{3 ln ^{2} ( x )}{x}

= \frac{3 ln ^{2} ( x )}{x}

Graph

Beliebte Beispiele

tangent y=(5x)/(2^x),\at x=2

t an g e n t y = \frac{5 x}{2 ^{x}}, at x = 2

(\partial)/(\partial y)(ln(x^2+3y))

\frac{\partial}{\partial y} (ln (x^{2} + 3 y))

derivative of (6x^5-7x/(x^4-8))

\frac{d}{d x} (\frac{6 x ^{5} - 7 x}{x ^{4} - 8})

integral of (6e^{-0.2x})

\int (6 e^{- 0.2 x}) d x

fläche 5-x,25-x^2

a re a 5 - x, 25 - x^{2}