de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1+e^{x^2}

Lösung

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

Lösung

2 e^{x^{2}} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of ln|ln(x|)

\frac{d}{d x} (ln ∣ ln (x) ∣)

derivative y=x^{(1/(ln(x)))}

d er i v a t i v e y = x^{(\frac{1}{l n ( x )})}

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

\int sin^{5} (x) \cdot cos^{5} (x) d x

limit as x approaches 0 of 7/(cos(x))

x \to 0 lim (\frac{7}{cos ( x )})

(dx)/(dy)+1/(y^2)x= 1/(y^2)

\frac{d x}{d y} + \frac{1}{y ^{2}} x = \frac{1}{y ^{2}}