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Beliebt Rechnen >

(\partial)/(\partial y)(e^{xy})

Lösung

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

Lösung

e^{x y} x

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) = x

= e^{x y} x

Beliebte Beispiele

limit as x approaches 3 of ((x^4-81))/(x-3)

x \to 3 lim (\frac{( x ^{4} - 81 )}{x - 3})

derivative f(x)=(x^5-4x^3-7)^8

d er i v a t i v e f (x) = (x^{5} - 4 x^{3} - 7)^{8}

laplacetransform 10e^{-10t}

l a pl a ce t r an s f or m 10 e^{- 10 t}

derivative f(x)=ln(x^4)

d er i v a t i v e f (x) = ln (x^{4})

integral of cos(1/3 x)

\int cos (\frac{1}{3} x) d x