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Beliebt Rechnen >

derivative of 5x^3+2ln(x)

Lösung

\frac{d}{d x} (5 x^{3} + 2 ln (x))

Lösung

15 x^{2} + \frac{2}{x}

Schritte zur Lösung

\frac{d}{d x} (5 x^{3} + 2 ln (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (2 ln (x))

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{2} + \frac{2}{x}

Graph

Beliebte Beispiele

derivative of e^{(x^2+x})

\frac{d}{d x} (e^{(x^{2} + x)})

limit as x approaches 3 of 4x^2+1

x \to 3 lim (4 x^{2} + 1)

derivative x^2+9

d er i v a t i v e x^{2} + 9

derivative (x+7)/(x-7)

d er i v a t i v e \frac{x + 7}{x - 7}

derivative ((2x+1))/(sqrt(x^3))

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