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Beliebt Rechnen >

(\partial)/(\partial x)(y-(216)/(x^2))

Lösung

\frac{\partial}{\partial x} (y - \frac{216}{x ^{2}})

Lösung

\frac{432}{x ^{3}}

Schritte zur Lösung

\frac{\partial}{\partial x} (y - \frac{216}{x ^{2}})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (y) - \frac{\partial}{\partial x} (\frac{216}{x ^{2}})

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

\frac{\partial}{\partial x} (\frac{216}{x ^{2}}) = - \frac{432}{x ^{3}}

= 0 - (- \frac{432}{x ^{3}})

Vereinfache

= \frac{432}{x ^{3}}

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