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Beliebt Rechnen >

derivative of e^{x^2+x}

Lösung

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

Lösung

e^{x^{2} + x} (2 x + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{x^{2} + x} (2 x + 1)

Graph

Beliebte Beispiele

integral of sin(5x)cos(5x)

\int sin (5 x) cos (5 x) d x

integral of 2 1/x

\int 2 \frac{1}{x} d x

integral of e^{-7x}tan(e^{-7x})

\int e^{- 7 x} tan (e^{- 7 x}) d x

x y^{^{'}} + 2 y ln (x) = 3

integral from 1 to 3 of (x^2+8)/(4x-x^2)

\int_{1}^{3} \frac{x ^{2} + 8}{4 x - x ^{2}} d x