(\partial)/(\partial x)(1.2x^{0.6}y^{0.4})

Lösung

\frac{\partial}{\partial x} (1.2 x^{0.6} y^{0.4})

\frac{0.72 y ^{0.4}}{x ^{0.4}}

Schritte zur Lösung

\frac{\partial}{\partial x} (1.2 x^{0.6} y^{0.4})

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 1.2 y^{0.4} \frac{\partial}{\partial x} (x^{0.6})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 1.2 y^{0.4} \cdot 0.6 x^{0.6 - 1}

Vereinfache

1.2 y^{0.4} \cdot 0.6 x^{0.6 - 1} : \frac{0.72 y ^{0.4}}{x ^{0.4}}

= \frac{0.72 y ^{0.4}}{x ^{0.4}}

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