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Beliebt Rechnen >

derivative of (x^3+2/3)

Lösung

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

Lösung

x^{2}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (2) = 0

= \frac{1}{3} (3 x^{2} + 0)

Vereinfache

\frac{1}{3} (3 x^{2} + 0) : x^{2}

= x^{2}

Graph

Beliebte Beispiele

integral of e^{6x}cos(2x)

\int e^{6 x} cos (2 x) d x

derivative of 4/(\sqrt[4]{x})

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

y^{''}+2y^'+1y=0

y^{^{''}} + 2 y^{^{'}} + 1 y = 0

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