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Beliebt Rechnen >

derivative of e^{x^2}+2

Lösung

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

Lösung

2 e^{x^{2}} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (2) = 0

= e^{x^{2}} \cdot 2 x + 0

Vereinfache

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

Graph

Beliebte Beispiele

integral from-9 to-8 of 1/x

\int_{- 9}^{- 8} \frac{1}{x} d x

x^{^{'''}} + x = 0

y^{^{'}} = - sin (π x)

derivative of ln(-3x+2)

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

integral from 0 to-0.4 of 150x

\int_{0}^{- 0.4} 150 x d x