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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{x y} x

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (z) = 0

= e^{x y} x - 0

Vereinfache

= e^{x y} x

Beliebte Beispiele

y^{''}+12y^'+37y=0

y^{^{''}} + 12 y^{^{'}} + 37 y = 0

limit as x approaches-5-of (-2)/(x^2-25)

x \to - 5 - lim (\frac{- 2}{x ^{2} - 25})

derivative (18x+4x^2)/((9+4x)^2)

d er i v a t i v e \frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}}

integral of e^{-x}cos(ax)

\int e^{- x} cos (a x) d x

integral of 2xe^{-y}

\int 2 x e^{- y} d x