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Beliebt Rechnen >

(\partial)/(\partial x)(x^2+(y-1)^2)

Lösung

\frac{\partial}{\partial x} (x^{2} + (y - 1)^{2})

Lösung

2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + (y - 1)^{2})

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 - 1)^{2})

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

\frac{\partial}{\partial x} ((y - 1)^{2}) = 0

= 2 x + 0

Vereinfache

= 2 x

Beliebte Beispiele

integral from-4 to 4 of 1/(sqrt(16-x^2))

\int_{- 4}^{4} \frac{1}{16 - x ^{2}} d x

(\partial)/(\partial x)(sqrt(2x+1)+ye^{-x})

\frac{\partial}{\partial x} (2 x + 1 + y e^{- x})

integral of e^{-20x}

\int e^{- 20 x} d x

tangent y=10xsin(x)

t an g e n t y = 10 x sin (x)

integral of \sqrt[3]{y^2}

\int 3 y^{2} d y