de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1/2 ln(x^2)

Lösung

\frac{d}{d x} (\frac{1}{2} ln (x^{2}))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2} ln (x^{2}))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

= \frac{1}{x ^{2}} \frac{d}{d x} (x^{2})

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

= \frac{1}{2} \cdot \frac{1}{x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2} \cdot \frac{1}{x ^{2}} \cdot 2 x : \frac{1}{x}

= \frac{1}{x}

Graph

Beliebte Beispiele

integral of 1/(sin(x)-cos(x))

\int \frac{1}{sin ( x ) - cos ( x )} d x

tangent f(x)=2x(x^2-4x+5)^6,\at x=2

t an g e n t f (x) = 2 x (x^{2} - 4 x + 5)^{6}, at x = 2

\frac{d}{d X} (X^{2})

integral from 1 to 3 of x^4(ln(x))^2

\int_{1}^{3} x^{4} (ln (x))^{2} d x

derivative 8e^{-2x}

d er i v a t i v e 8 e^{- 2 x}