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Beliebt Rechnen >

(\partial)/(\partial y)(e^{xy}+x^2z)

Lösung

\frac{\partial}{\partial y} (e^{x y} + x^{2} z)

Lösung

e^{x y} x

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{x y} + x^{2} 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} (x^{2} z)

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

\frac{\partial}{\partial y} (x^{2} z) = 0

= e^{x y} x + 0

Vereinfache

= e^{x y} x

Beliebte Beispiele

derivative (x^4)/(1-x^3)

d er i v a t i v e \frac{x ^{4}}{1 - x ^{3}}

fläche x^2,(-2,1)

a re a x^{2}, (- 2, 1)

integral of (x-1)/(x(x+1))

\int \frac{x - 1}{x ( x + 1 )} d x

derivative of (4x^3+1^2)

\frac{d}{d x} ((4 x^{3} + 1)^{2})

integral of sin^2(X)

\int sin^{2} (X) d X