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Beliebt Rechnen >

(\partial)/(\partial y)(x^2e^{yz})

Lösung

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

Lösung

x^{2} e^{yz} z

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Entferne die Konstante:

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

= x^{2} \frac{\partial}{\partial y} (e^{yz})

Wende die Kettenregel an:

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

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

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

= x^{2} e^{yz} z

Beliebte Beispiele

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

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

integral of e^9

\int e^{9} d y

limit as x approaches-3 of-3

x \to - 3 lim (- 3)

(\partial)/(\partial z)(sin(xz))

\frac{\partial}{\partial z} (sin (x z))

derivative y=\sqrt[9]{x^8}-x^pi

d er i v a t i v e y = 9 x^{8} - x^{π}