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Beliebt Rechnen >

(\partial)/(\partial x)(3x-sqrt(3y^2+z^2))

Lösung

\frac{\partial}{\partial x} (3 x - 3 y^{2} + z^{2})

Lösung

3

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x - 3 y^{2} + z^{2})

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x) - \frac{\partial}{\partial x} (3 y^{2} + z^{2})

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

\frac{\partial}{\partial x} (3 y^{2} + z^{2}) = 0

= 3 - 0

Vereinfache

= 3

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