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Beliebt Rechnen >

derivative of 3x^2+e^2x+pi^2

Lösung

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

Lösung

6 x + e^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2} + 0

Vereinfache

= 6 x + e^{2}

Graph

Beliebte Beispiele

derivative f(x)=x^8-9e^{3x}

d er i v a t i v e f (x) = x^{8} - 9 e^{3 x}

integral from 0 to pi of cos(t)

\int_{0}^{π} cos (t) d t

derivative of 2x^3-12x^2+18x

\frac{d}{d x} (2 x^{3} - 12 x^{2} + 18 x)

limit as x approaches 3 of (-4)x

x \to 3 lim ((- 4) x)

(dx)/(dy)+800y=400

\frac{d x}{d y} + 800 y = 400