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Beliebt Rechnen >

derivative of ln(x^3+e^{2x})

Lösung

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

Lösung

\frac{3}{x} + e^{2 x} \cdot 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= \frac{3}{x} + e^{2 x} \cdot 2

Graph

Beliebte Beispiele

derivative f(x)=csc^7(2x^pi+pi^3)

d er i v a t i v e f (x) = csc^{7} (2 x^{π} + π^{3})

y^{^{''}} - 9 y = 0

integral of 1/((x+5)^2(x-3))

\int \frac{1}{( x + 5 ) ^{2} ( x - 3 )} d x

sum from n=2 to infinity of ((3x-2)^n)/n

n = 2 \sum \infty \frac{( 3 x - 2 ) ^{n}}{n}

derivative y=sin(2t)

d er i v a t i v e y = sin (2 t)