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Beliebt Rechnen >

derivative of e^{x-2y}

Lösung

\frac{d}{d x} (e^{x - 2 y})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (e^{x - 2 y})

Wende die Kettenregel an:

e^{x - 2 y} \frac{d}{d x} (x - 2 y)

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

\frac{d}{d x} (x - 2 y) = 1 - 2 \frac{d y}{d x}

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

Beliebte Beispiele

integral of (x+20)/(x^2+18x+85)

\int \frac{x + 20}{x ^{2} + 18 x + 85} d x

integral of sin^2(2x)cos(x)

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

derivative of e^ycos(x)

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

derivative y=x^2-7

d er i v a t i v e y = x^{2} - 7

integral of (8x^3)/((x^4+5))

\int \frac{8 x ^{3}}{( x ^{4} + 5 )} d x