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Beliebt Rechnen >

derivative of x^3+3x^2+4

Lösung

\frac{d}{d x} (x^{3} + 3 x^{2} + 4)

Lösung

3 x^{2} + 6 x

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 3 x^{2} + 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (4)

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (4) = 0

= 3 x^{2} + 6 x + 0

Vereinfache

= 3 x^{2} + 6 x

Graph

Beliebte Beispiele

derivative of xe^{-x}-e^{-3}

\frac{d}{d x} (x e^{- x} - e^{- 3})

integral of 1/2 x+2/3 x^2

\int \frac{1}{2} x + \frac{2}{3} x^{2} d x

integral of 4/(x+1)

\int \frac{4}{x + 1} d x

integral of (2e^x)/(3e^x+1)

\int \frac{2 e ^{x}}{3 e ^{x} + 1} d x

limit as x approaches 2+of x+2

x \to 2 + lim (x + 2)