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Beliebt Rechnen >

(\partial)/(\partial x)(x^2+y^2-4y)

Lösung

\frac{\partial}{\partial x} (x^{2} + y^{2} - 4 y)

Lösung

2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + y^{2} - 4 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (4 y)

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

\frac{\partial}{\partial x} (y^{2}) = 0

\frac{\partial}{\partial x} (4 y) = 0

= 2 x + 0 - 0

Vereinfache

= 2 x

Beliebte Beispiele

derivative (2x)/(x^2-4)

d er i v a t i v e \frac{2 x}{x ^{2} - 4}

integral of-8x^{-9}

\int - 8 x^{- 9} d x

integral of 0.733xe^{-0.27x}

\int 0.733 x e^{- 0.27 x} d x

integral of 18xcos(3x)

\int 18 x cos (3 x) d x

limit as x approaches 3 of sqrt(x-3)

x \to 3 lim (x - 3)