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Beliebt Rechnen >

d/(du)(u^2-v^2)

Lösung

\frac{d}{d u} (u^{2} - v^{2})

Lösung

2 u

Schritte zur Lösung

\frac{d}{d u} (u^{2} - v^{2})

Behandle

v

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d u} (u^{2}) - \frac{d}{d u} (v^{2})

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

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

= 2 u - 0

Vereinfache

= 2 u

Graph

Beliebte Beispiele

(\partial)/(\partial y)(2xsin(xy))

\frac{\partial}{\partial y} (2 x sin (x y))

integral of 2x(3x-2)^6

\int 2 x (3 x - 2)^{6} d x

steigung (5,9),(4,5)

s l o p e (5, 9), (4, 5)

taylor x^{1/3},x=8

t a y l or x^{\frac{1}{3}}, x = 8

limit as x approaches 0 of (-x^3)/(x^2)

x \to 0 lim (\frac{- x ^{3}}{x ^{2}})