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Beliebt Rechnen >

derivative f(x)=2xln(3x)-2x

Lösung

ableitung von

f (x) = 2 x ln (3 x) - 2 x

Lösung

2 ln (3 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 2 (ln (3 x) + 1) - 2

Vereinfache

2 (ln (3 x) + 1) - 2 : 2 ln (3 x)

= 2 ln (3 x)

Graph

Beliebte Beispiele

integral of (x-1)^2x^3(2-x)

\int (x - 1)^{2} x^{3} (2 - x) d x

limit as x approaches-infinity of 4/x-12

x \to - \infty lim (\frac{4}{x} - 12)

derivative of 2sec^2(x*tan(x))

\frac{d}{d x} (2 sec^{2} (x) \cdot tan (x))

xdx+(x^2y+4y)dy=0

x d x + (x^{2} y + 4 y) d y = 0

y^{^{'}} + 5 y = 2