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Beliebt Rechnen >

derivative of x^2e^x-3

Lösung

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

Lösung

e^{x} x^{2} + 2 e^{x} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3) = 0

= 2 x e^{x} + e^{x} x^{2} - 0

Vereinfache

= e^{x} x^{2} + 2 e^{x} x

Graph

Beliebte Beispiele

limit as x approaches 0 of x*arctan(1/x)

x \to 0 lim (x \cdot arctan (\frac{1}{x}))

integral of (2x^3+3x+1)^4(6x^2+3)

\int (2 x^{3} + 3 x + 1)^{4} (6 x^{2} + 3) d x

integral of 1/(x(1+x^2))

\int \frac{1}{x ( 1 + x ^{2} )} d x

(ln (1 - x^{2}))^{^{'}}

xy^2y^'=y^3-2x^3

x y^{2} y^{^{'}} = y^{3} - 2 x^{3}