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Beliebt Rechnen >

derivative y=(5x^3)/3-x+7e^x

Lösung

ableitung von

y = \frac{5 x ^{3}}{3} - x + 7 e^{x}

Lösung

5 x^{2} - 1 + 7 e^{x}

Schritte zur Lösung

\frac{d}{d x} (\frac{5 x ^{3}}{3} - x + 7 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{5 x ^{3}}{3}) - \frac{d x}{d x} + \frac{d}{d x} (7 e^{x})

\frac{d}{d x} (\frac{5 x ^{3}}{3}) = 5 x^{2}

\frac{d x}{d x} = 1

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

= 5 x^{2} - 1 + 7 e^{x}

Graph

Beliebte Beispiele

fläche-2x^3+23x^2-33x-108,[0,x]

a re a - 2 x^{3} + 23 x^{2} - 33 x - 108, [0, x]

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t \frac{d y}{d t} = 2 t e^{t} - y + 6 t^{2}

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\int 2 e^{6} d x

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\int 1 + x d x

limit as x approaches 8 of x/(x^2-64)

x \to 8 lim (\frac{x}{x ^{2} - 64})