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Beliebt Rechnen >

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

Lösung

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

Lösung

x e^{x y} x

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

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

= x e^{x y} x

Beliebte Beispiele

limit as x approaches 7 of tan((pix)/6)

x \to 7 lim (tan (\frac{π x}{6}))

tangent f(x)=3+4x^2-2x^3,(1,5)

t an g e n t f (x) = 3 + 4 x^{2} - 2 x^{3}, (1, 5)

(d^3x)/(dt^3)=4t^3+t

\frac{d ^{3} x}{d t ^{3}} = 4 t^{3} + t

derivative of (2x^2+1/x)

\frac{d}{d x} (\frac{2 x ^{2} + 1}{x})

integral of 5*sin(x)

\int 5 \cdot sin (x) d x