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Beliebt Rechnen >

derivative of-sqrt(x^2+y^2)-10

Lösung

\frac{d}{d x} (- x^{2} + y^{2} - 10)

Lösung

- \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}}

Schritte zur Lösung

\frac{d}{d x} (- x^{2} + y^{2} - 10)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{2} + y^{2}) - \frac{d}{d x} (10)

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

\frac{d}{d x} (10) = 0

= - \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}} - 0

Vereinfache

= - \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}}

Beliebte Beispiele

integral of sin^3(x)cos(y)

\int sin^{3} (x) cos (y) d x

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\int \frac{1}{1 + u} d u

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\int \frac{3 x ^{3} + 5 x}{x ^{2} - x - 2} d x

limit as x approaches-infinity of arccos(x)

x \to - \infty lim (arccos (x))