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Beliebt Rechnen >

derivative of (x^3/3-5x^2+21x+1)

Lösung

\frac{d}{d x} (\frac{x ^{3}}{3} - 5 x^{2} + 21 x + 1)

Lösung

x^{2} - 10 x + 21

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{3} - 5 x^{2} + 21 x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (21 x) + \frac{d}{d x} (1)

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (21 x) = 21

\frac{d}{d x} (1) = 0

= x^{2} - 10 x + 21 + 0

Vereinfache

= x^{2} - 10 x + 21

Graph

Beliebte Beispiele

limit as x approaches 3 of-6

limit as x approaches 9-of 3/(x-9)

integral of x/(x^2+a^2)

derivative f(x)=sqrt(9-x^2)

derivative y=x^2ln(4x+3)