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Beliebt Rechnen >

derivative of e^{x^2}+x^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of 1/(sqrt(-x^2-10x))

\int \frac{1}{- x ^{2} - 10 x} d x

integral of ln(1+2x)

\int ln (1 + 2 x) d x

integral of (2xy+x^2-1)

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

maclaurin 9sin(4x)

ma c l a u r in 9 sin (4 x)

derivative sqrt(w)e^w

d er i v a t i v e w e^{w}