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Beliebt Rechnen >

(\partial)/(\partial v)(1/3 (u+v))

Lösung

\frac{\partial}{\partial v} (\frac{1}{3} (u + v))

Lösung

\frac{1}{3}

+1

Dezimale

0.33333 \dots

Schritte zur Lösung

\frac{\partial}{\partial v} (\frac{1}{3} (u + v))

Behandle

u

als Konstante

Entferne die Konstante:

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

= \frac{1}{3} \frac{\partial}{\partial v} (u + v)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{3} (\frac{\partial}{\partial v} (u) + \frac{\partial}{\partial v} (v))

\frac{\partial}{\partial v} (u) = 0

\frac{\partial}{\partial v} (v) = 1

= \frac{1}{3} (0 + 1)

Vereinfache

= \frac{1}{3}

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