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Beliebt Rechnen >

(\partial)/(\partial u)(u^2v)

Lösung

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

Lösung

2 uv

Schritte zur Lösung

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

Behandle

v

als Konstante

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

= v \cdot 2 u^{2 - 1}

Vereinfache

= 2 uv

Beliebte Beispiele

integral of 12x^3(ln(4x))^2

\int 12 x^{3} (ln (4 x))^{2} d x

integral of (3x^2+8)

\int (3 x^{2} + 8) d x

y^{^{'}} = \frac{1 - 2 t}{y}

derivative of (x^2+10^6)

\frac{d}{d x} ((x^{2} + 10)^{6})

limit as x approaches 0 of (sin(6x^2))/(1-cos(3x))

x \to 0 lim (\frac{sin ( 6 x ^{2} )}{1 - cos ( 3 x )})