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Beliebt Rechnen >

(\partial)/(\partial u)(u^2+v^2-4)

Lösung

\frac{\partial}{\partial u} (u^{2} + v^{2} - 4)

Lösung

2 u

Schritte zur Lösung

\frac{\partial}{\partial u} (u^{2} + v^{2} - 4)

Behandle

v

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial u} (u^{2}) + \frac{\partial}{\partial u} (v^{2}) - \frac{\partial}{\partial u} (4)

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

\frac{\partial}{\partial u} (v^{2}) = 0

\frac{\partial}{\partial u} (4) = 0

= 2 u + 0 - 0

Vereinfache

= 2 u

Beliebte Beispiele

integral of x*(sqrt(x^2-3))

\int x \cdot (x^{2} - 3) d x

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d er i v a t i v e y = x sin (\frac{1}{x})

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d er i v a t i v e 3 x^{2} (x^{3} + 1)^{7}

limit as x approaches 0 of (sin^2(4x))/x

x \to 0 lim (\frac{sin ^{2} ( 4 x )}{x})

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x \to 0 + lim (- \frac{1}{sin ( 2 x )})