d/(dy)(e^{xe^y})

Lösung

\frac{d}{d y} (e^{x e^{y}})

e^{e^{y} x + y} x

Schritte zur Lösung

\frac{d}{d y} (e^{x e^{y}})

Behandle

x

als Konstante

Wende die Kettenregel an:

e^{x e^{y}} \frac{d}{d y} (x e^{y})

= e^{x e^{y}} \frac{d}{d y} (x e^{y})

\frac{d}{d y} (x e^{y}) = x e^{y}

= e^{x e^{y}} x e^{y}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

e^{x e^{y}} e^{y} = e^{e^{y} x + y}

= e^{e^{y} x + y} x

a re a x, x - 2, y = 0

x \to 0 lim (\frac{sin ( k x )}{x})

\int \frac{3 r}{1 - r ^{2}} d r

\int cos^{2} (4 x) d x

d er i v a t i v e y = (\frac{x}{3.3} + \frac{3.3}{x}) (x^{2} + 1)