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Beliebt Rechnen >

(\partial)/(\partial y)(e^{x-y})

Lösung

\frac{\partial}{\partial y} (e^{x - y})

Lösung

- e^{x - y}

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{x - y})

Behandle

x

als Konstante

Wende die Kettenregel an:

e^{x - y} \frac{\partial}{\partial y} (x - y)

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

\frac{\partial}{\partial y} (x - y) = - 1

= e^{x - y} (- 1)

Vereinfache

= - e^{x - y}

Beliebte Beispiele

limit as y approaches infinity of (2y^2-3y+5)/(y^2-5y+2)

y \to \infty lim (\frac{2 y ^{2} - 3 y + 5}{y ^{2} - 5 y + 2})

limit as x approaches 2 of x^3+3x^2

x \to 2 lim (x^{3} + 3 x^{2})

(dv)/(dt)=k*(275-v),v(0)=0

\frac{d v}{d t} = k \cdot (275 - v), v (0) = 0

derivative cos^2(x)+sin^2(x)

d er i v a t i v e cos^{2} (x) + sin^{2} (x)

inverselaplace (0.625)/(s+4)

in v erse l a pl a ce \frac{0.625}{s + 4}