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Beliebt Rechnen >

derivative of e^xx^2-e^x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of (8-128x)/(sqrt(81-64x^2))

\int \frac{8 - 128 x}{81 - 64 x ^{2}} d x

derivative of sqrt(3x-8)

\frac{d}{d x} (3 x - 8)

integral of (x^3+x^2-x+1)/x

\int \frac{x ^{3} + x ^{2} - x + 1}{x} d x

derivative of e^{x^3ln(x})

\frac{d}{d x} (e^{x^{3} l n (x)})

(\partial)/(\partial x)(3x^2y^4+3)

\frac{\partial}{\partial x} (3 x^{2} y^{4} + 3)