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Beliebt Rechnen >

derivative (ln(x))^2

Lösung

ableitung von

(ln (x))^{2}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d 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}

Graph

Beliebte Beispiele

integral from 1 to 2 of x*ln(x)

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

integral of 1/(4+5x^6)(30x^5)

\int \frac{1}{4 + 5 x ^{6}} (30 x^{5}) d x

derivative x(2x+7)^{1/3}

d er i v a t i v e x (2 x + 7)^{\frac{1}{3}}

t^2y^{''}+6ty^'-6y=0

t^{2} y^{^{''}} + 6 t y^{^{'}} - 6 y = 0

(\partial)/(\partial x)((x^3-y^2)^{(-1)})

\frac{\partial}{\partial x} ((x^{3} - y^{2})^{(- 1)})