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Beliebt Rechnen >

derivative of e^{(x+y})

Lösung

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

Lösung

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

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

Beliebte Beispiele

derivative of arcsin(ax)

\frac{d}{d x} (arcsin (a x))

integral of arcsin(cos(x))

\int arcsin (cos (x)) d x

integral from 0 to infinity of 8e^{-8x}

\int_{0}^{\infty} 8 e^{- 8 x} d x

derivative ln(2x+3)

d er i v a t i v e ln (2 x + 3)

integral of (4x^2-9x)^5(8x-9)

\int (4 x^{2} - 9 x)^{5} (8 x - 9) d x