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Beliebt Rechnen >

(\partial)/(\partial z)(xy-3xz+yz)

Lösung

\frac{\partial}{\partial z} (x y - 3 x z + yz)

Lösung

y - 3 x

Schritte zur Lösung

\frac{\partial}{\partial z} (x y - 3 x z + yz)

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial z} (x y) - \frac{\partial}{\partial z} (3 x z) + \frac{\partial}{\partial z} (yz)

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

\frac{\partial}{\partial z} (3 x z) = 3 x

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

= 0 - 3 x + y

Vereinfache

= y - 3 x

Beliebte Beispiele

(d^3)/(dx^3)(x^4-3x^2+6x-5)

\frac{d ^{3}}{d x ^{3}} (x^{4} - 3 x^{2} + 6 x - 5)

integral of-2e^{-x/2}

\int - 2 e^{- \frac{x}{2}} d x

derivative of arctan(sqrt((1-x/(1+x))))

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

taylor x^{-2},3

t a y l or x^{- 2}, 3

d/(ds)(k/(s^2+k^2))

\frac{d}{d s} (\frac{k}{s ^{2} + k ^{2}})