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Beliebt Rechnen >

(\partial)/(\partial x)(4y^8+3y^2x^2)

Lösung

\frac{\partial}{\partial x} (4 y^{8} + 3 y^{2} x^{2})

Lösung

6 y^{2} x

Schritte zur Lösung

\frac{\partial}{\partial x} (4 y^{8} + 3 y^{2} x^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 y^{8}) + \frac{\partial}{\partial x} (3 y^{2} x^{2})

\frac{\partial}{\partial x} (4 y^{8}) = 0

\frac{\partial}{\partial x} (3 y^{2} x^{2}) = 6 y^{2} x

= 0 + 6 y^{2} x

Vereinfache

= 6 y^{2} x

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