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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - 2 y

Vereinfache

= - 2 y

Beliebte Beispiele

integral of x^2+4x+3

\int x^{2} + 4 x + 3 d x

integral of (sec(x))/(1-tan(x))

\int \frac{sec ( x )}{1 - tan ( x )} d x

derivative of (x^3-7(2x^2+3))

\frac{d}{d x} ((x^{3} - 7) (2 x^{2} + 3))

(2 x + 4)^{^{'}}

integral from e to 4e of 1/x

\int_{e}^{4 e} \frac{1}{x} d x