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Beliebt Rechnen >

(\partial)/(\partial y)(xe^y-ln(x))

Lösung

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

Lösung

e^{y} x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (ln (x)) = 0

= x e^{y} - 0

Vereinfache

= e^{y} x

Beliebte Beispiele

derivative-x-1/x

d er i v a t i v e - x - \frac{1}{x}

limit as x approaches 0 of x^{-1}

x \to 0 lim (x^{- 1})

integral from-2 to 3 of (14)/(x^4)

\int_{- 2}^{3} \frac{14}{x ^{4}} d x

derivative of xe^xsin(y)

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

y^{''}+3y^'-7y=x^4e^x

y^{^{''}} + 3 y^{^{'}} - 7 y = x^{4} e^{x}