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Beliebt Rechnen >

(\partial)/(\partial x)(xy+yz+zx-3)

Lösung

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

Lösung

y + z

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (yz) = 0

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

\frac{\partial}{\partial x} (3) = 0

= y + 0 + z - 0

Vereinfache

= y + z

Beliebte Beispiele

tangent y=e^{2x},\at x= 1/2 ln(2)

limit as x approaches-1 of (|x|)/(x+1)

integral of xarctan(8x)

derivative of (6x+e^{-x^2}^5)