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Beliebt Rechnen >

derivative of 2x^3-e^x

Lösung

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

Lösung

6 x^{2} - e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (e^{x}) = e^{x}

= 6 x^{2} - e^{x}

Graph

Beliebte Beispiele

integral of sin^3(x)cos^5(x)

\int sin^{3} (x) cos^{5} (x) d x

integral of arcsin(6x)

\int arcsin (6 x) d x

steigung (3,1),(0,-2)

s l o p e (3, 1), (0, - 2)

derivative 5*2^{sqrt(t-2)}

d er i v a t i v e 5 \cdot 2^{t - 2}

sum from n=4 to infinity of e^{7-4n}

n = 4 \sum \infty e^{7 - 4 n}