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Beliebt Rechnen >

derivative x^3+5

Lösung

ableitung von

x^{3} + 5

Lösung

3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= 3 x^{2} + 0

Vereinfache

= 3 x^{2}

Graph

Beliebte Beispiele

limit as y approaches-3 of (5-y)^{4/3}

y \to - 3 lim ((5 - y)^{\frac{4}{3}})

f(x)=sqrt((x^2+1)/(x^2+4))

f (x) = \frac{x ^{2} + 1}{x ^{2} + 4}

derivative of sqrt(1+9x)

\frac{d}{d x} (1 + 9 x)

derivative a^8+cos^8(x)

d er i v a t i v e a^{8} + cos^{8} (x)

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

\int \frac{3 x ^{5} - 2 x ^{3} + 5 x ^{2} - 2}{x ^{3} + 1} d x