d/(dy)(sqrt(4-y^2))

Lösung

\frac{d}{d y} (4 - y^{2})

- \frac{y}{4 - y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (4 - y^{2})

Wende die Kettenregel an:

\frac{1}{2 4 - y ^{2}} \frac{d}{d y} (4 - y^{2})

= \frac{1}{2 4 - y ^{2}} \frac{d}{d y} (4 - y^{2})

\frac{d}{d y} (4 - y^{2}) = - 2 y

= \frac{1}{2 4 - y ^{2}} (- 2 y)

Vereinfache

\frac{1}{2 4 - y ^{2}} (- 2 y) : - \frac{y}{4 - y ^{2}}

= - \frac{y}{4 - y ^{2}}

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