(\partial}{\partial u}(\frac{(u+v))/2)

Lösung

\frac{\partial}{\partial u} (\frac{( u + v )}{2})

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

\frac{\partial}{\partial u} (\frac{( u + v )}{2})

Behandle

v

als Konstante

Entferne die Konstante:

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

= \frac{1}{2} \frac{\partial}{\partial u} (u + v)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{2} (\frac{\partial}{\partial u} (u) + \frac{\partial}{\partial u} (v))

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

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

= \frac{1}{2} (1 + 0)

Vereinfache

= \frac{1}{2}