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Beliebt Rechnen >

derivative of e^{xe^y}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

derivative of-cot(2x)

\frac{d}{d x} (- cot (2 x))

derivative of cos(x^2)

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

(dy)/(dx)= 6/5 (1-y/8)

\frac{d y}{d x} = \frac{6}{5} (1 - \frac{y}{8})

2 y^{^{'}} = 0

fläche y=(x^5-8x)/(x^3),(1,4)

a re a y = \frac{x ^{5} - 8 x}{x ^{3}}, (1, 4)