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Beliebt Rechnen >

derivative of 3e^x+(x-2^2)

Lösung

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

Lösung

3 e^{x} + 2 (x - 2)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 e^{x} + 2 (x - 2)

Graph

Beliebte Beispiele

limit as x approaches 6 of sqrt(5)

x \to 6 lim (5)

y^{''}+10y^'+25y=7e^{2x}

y^{^{''}} + 10 y^{^{'}} + 25 y = 7 e^{2 x}

integral from-infinity to 3 of xe^x

\int_{- \infty}^{3} x e^{x} d x

tangent 5e^xcos(x)(0.5)

t an g e n t 5 e^{x} cos (x) (0.5)

integral of xsin(7x)

\int x sin (7 x) d x