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Beliebt Rechnen >

derivative of (x^2+y^2^2)

Lösung

\frac{d}{d x} ((x^{2} + y^{2})^{2})

Lösung

2 (x^{2} + y^{2}) (2 x + 2 y \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + y^{2})^{2})

Wende die Kettenregel an:

2 (x^{2} + y^{2}) \frac{d}{d x} (x^{2} + y^{2})

= 2 (x^{2} + y^{2}) \frac{d}{d x} (x^{2} + y^{2})

\frac{d}{d x} (x^{2} + y^{2}) = 2 x + 2 y \frac{d y}{d x}

= 2 (x^{2} + y^{2}) (2 x + 2 y \frac{d y}{d x})

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