de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)((ln(x))^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

2 ln (x) \frac{\partial}{\partial x} (ln (x))

= 2 ln (x) \frac{\partial}{\partial x} (ln (x))

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

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

Vereinfache

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

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

Beliebte Beispiele

integral of (x^3+x^2-x^5)/(x^6)

\int \frac{x ^{3} + x ^{2} - x ^{5}}{x ^{6}} d x

derivative of 1/4 (x^4+8)

\frac{d}{d x} (\frac{1}{4} (x^{4} + 8))

derivative g(x)=3x^4-140x^3

d er i v a t i v e g (x) = 3 x^{4} - 140 x^{3}

integral of 1/t

\int \frac{1}{t} d t

(\partial)/(\partial x)(-x)

\frac{\partial}{\partial x} (- x)