(\partial)/(\partial u)((x)(4u-2uv))

Lösung

\frac{\partial}{\partial u} ((x) (4 u - 2 uv))

x (4 - 2 v)

Schritte zur Lösung

\frac{\partial}{\partial u} ((x) (4 u - 2 uv))

Behandle

x, v

als Konstanten

Entferne die Konstante:

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

= x \frac{\partial}{\partial u} (4 u - 2 uv)

Wende die Summen-/Differenzregel an:

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

= x (\frac{\partial}{\partial u} (4 u) - \frac{\partial}{\partial u} (2 uv))

\frac{\partial}{\partial u} (4 u) = 4

\frac{\partial}{\partial u} (2 uv) = 2 v

= x (4 - 2 v)

e x p an d - \frac{2}{( x ^{2} + 1 ) ^{2}}

e x p an d (x)^{4}

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e x p an d 2 (20 = 6 - 8 (x + 7))

e x p an d \frac{1}{( ( x - 1 ) ( x ^{2} + 4 ) x )}