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

Lösung

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

x^{2} e^{yz} y

Schritte zur Lösung

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

Behandle

x, y

als Konstanten

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

x \to 0 lim (\frac{x ^{3} + 5 x}{x})

\int_{0}^{x} \frac{1}{t ^{2} - 25} d t

y^{^{'}} = y + 3 t e^{t}, y (0) = 4

x \to 3 lim (x - 8)

\int (s^{3} + 3)^{2} (1 - s^{2})^{3} d s