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Beliebt Rechnen >

derivative of (x^3/3+1)

Lösung

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

Lösung

x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} + 0

Vereinfache

= x^{2}

Graph

Beliebte Beispiele

derivative of 2x-x^2+2x^3

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

integral of csc^3(5x)

\int csc^{3} (5 x) d x

integral of 1/((x^2-2x+5)^2)

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

f(x)=-x^4+18x^2-11

f (x) = - x^{4} + 18 x^{2} - 11

derivative of (x^2+7\sqrt[3]{x^2+2})

\frac{d}{d x} ((x^{2} + 7) 3 x^{2} + 2)