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Beliebt Rechnen >

derivative of 3ln(x^2)

Lösung

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

Lösung

\frac{6}{x}

Schritte zur Lösung

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

Entferne die Konstante:

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

= 3 \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

= 3 \cdot \frac{1}{x ^{2}} \cdot 2 x

Vereinfache

3 \cdot \frac{1}{x ^{2}} \cdot 2 x : \frac{6}{x}

= \frac{6}{x}

Graph

Beliebte Beispiele

tangent e^x,\at x=5

t an g e n t e^{x}, at x = 5

derivative of (3x-1^5)

\frac{d}{d x} ((3 x - 1)^{5})

derivative sin(2x)cos(3x)

d er i v a t i v e sin (2 x) cos (3 x)

integral of x^2e^xcos(x)

\int x^{2} e^{x} cos (x) d x

integral of 2xcos(x^2)

\int 2 x cos (x^{2}) d x