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Beliebt Rechnen >

derivative f(x)=x^3+2x

Lösung

ableitung von

f (x) = x^{3} + 2 x

Lösung

3 x^{2} + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x^{2} + 2

Graph

Beliebte Beispiele

tangent 2x^3+4x^2-x+2

t an g e n t 2 x^{3} + 4 x^{2} - x + 2

derivative y=(x-4)/x

d er i v a t i v e y = \frac{x - 4}{x}

limit as x approaches-10 of f(x)

x \to - 10 lim (f (x))

limit as x approaches 3-of (x+3)/(x^2-9)

x \to 3 - lim (\frac{x + 3}{x ^{2} - 9})

integral of 4/(sqrt(e^t))

\int \frac{4}{e ^{t}} d t