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Beliebt Rechnen >

d/(dy)(sqrt(1-y^2))

Lösung

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

Lösung

- \frac{y}{1 - y ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - \frac{y}{1 - y ^{2}}

Graph

Beliebte Beispiele

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n = 1 \sum \infty \frac{5}{e ^{2 n}}

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\int + x^{2} \cdot + sin (x) d x

x^{''}-3x^'=e^{3t}

x^{^{''}} - 3 x^{^{'}} = e^{3 t}