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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

x^{2} + x + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d x}{d x} = 1

= x^{2} + x + 1

Graph

Beliebte Beispiele

derivative of-x/(10)

\frac{d}{d x} (- \frac{x}{10})

integral of 2xln(5x)

\int 2 x ln (5 x) d x

\frac{d y}{d x} = x^{4} y

integral of 1/((y+4)^2)

\int \frac{1}{( y + 4 ) ^{2}} d y

limit as x approaches infinity of 4x+1

x \to \infty lim (4 x + 1)