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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x - 2

Schritte zur Lösung

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

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} (2 x)

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

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

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

= 2 x + 0 - 2

Vereinfache

= 2 x - 2

Beliebte Beispiele

derivative of-4sin^2(x)

\frac{d}{d x} (- 4 sin^{2} (x))

integral of 16cos^2(x)

\int 16 cos^{2} (x) d x

y^{''}-4y=((e^{2x}))/((x))

y^{^{''}} - 4 y = \frac{( e ^{2 x} )}{( x )}

limit as x approaches-3 of-x^2-x+4

x \to - 3 lim (- x^{2} - x + 4)

limit as x approaches 0 of \sqrt[x]{2}

x \to 0 lim (x 2)