(\partial)/(\partial z)(x^2y+y^2z)

Lösung

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

y^{2}

Schritte zur Lösung

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

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + y^{2}

Vereinfache

= y^{2}

n = 1 \sum \infty \frac{n}{n ( n + 3 )}

\frac{\partial}{\partial x} (4 e^{x - y})

\frac{d y}{d x} = e^{2.3 x - 1.9 y}

\int sec^{4} (\frac{3 x}{2}) tan^{2} (\frac{3 x}{2}) d x

in v erse l a pl a ce - \frac{e ^{- s}}{( ( s ^{2} + 4 ) \cdot s ^{2} )}