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Beliebt Rechnen >

d/(dy)(sqrt(x^2+y^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

= \frac{1}{2 x ^{2} + y ^{2}} \frac{d}{d y} (x^{2} + y^{2})

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

= \frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y

Vereinfache

\frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y : \frac{y}{x ^{2} + y ^{2}}

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

Beliebte Beispiele

derivative of x/(x+10)

\frac{d}{d x} (\frac{x}{x + 10})

integral of ((x+5)/(x^2+11x+18))

\int (\frac{x + 5}{x ^{2} + 11 x + 18}) d x

limit as x approaches 0 of sqrt(1+x)

x \to 0 lim (1 + x)

integral of+(arcsin(x))^2

\int + (arcsin (x))^{2} d x

integral of (x^2)/(x+7)

\int \frac{x ^{2}}{x + 7} d x