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

Lösung

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

2

Schritte zur Lösung

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

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

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

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

= 0 + 0 + 2

Vereinfache

= 2

\frac{d}{d x} (\frac{7}{x ^{4}})

x^{2} y^{^{''}} - 11 x y^{^{'}} + 36 y = 0

\frac{\partial}{\partial x} (x sin (4 x^{2} y))

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

\frac{\partial}{\partial x} (y x + y)