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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

2^{x} ln (2) + 2 e^{x^{2}} x + 2 e^{x^{2}} x^{3}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2^{x} ln (2) + 2 e^{x^{2}} x + 2 e^{x^{2}} x^{3}

Graph

Beliebte Beispiele

derivative of sqrt(ln(x+x))

\frac{d}{d x} (ln (x) + x)

derivative of-2x+y

\frac{d}{d x} (- 2 x + y)

integral of u+1

\int u + 1 d u

y=sec(1+\sqrt[3]{4+arcsin(4+pi^2)})

y = sec (1 + 3 4 + arcsin (4 + π^{2}))

10(t+1)(dy)/(dt)-9y=9t

10 (t + 1) \frac{d y}{d t} - 9 y = 9 t