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Beliebt Rechnen >

derivative of e^{x*y}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

geradzahligkeit f(x)=sin(tan(sqrt(1+x^3)))

p a r i t y f (x) = sin (tan (1 + x^{3}))

limit as x approaches 3 of x/2

x \to 3 lim (\frac{x}{2})

derivative of 1/(arcsec(x))

\frac{d}{d x} (\frac{1}{arcsec ( x )})

d/(dt)(cos(wt))

\frac{d}{d t} (cos (wt))

integral of 2e^xcos(x)

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