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Beliebt Rechnen >

d/(dy)(sqrt(y^2-9))

Lösung

\frac{d}{d y} (y^{2} - 9)

Lösung

\frac{y}{y ^{2} - 9}

Schritte zur Lösung

\frac{d}{d y} (y^{2} - 9)

Wende die Kettenregel an:

\frac{1}{2 y ^{2} - 9} \frac{d}{d y} (y^{2} - 9)

= \frac{1}{2 y ^{2} - 9} \frac{d}{d y} (y^{2} - 9)

\frac{d}{d y} (y^{2} - 9) = 2 y

= \frac{1}{2 y ^{2} - 9} \cdot 2 y

Vereinfache

\frac{1}{2 y ^{2} - 9} \cdot 2 y : \frac{y}{y ^{2} - 9}

= \frac{y}{y ^{2} - 9}

Graph

Beliebte Beispiele

derivative of 2^{4-x^2}

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

integral of ln(x)+2

\int ln (x) + 2 d x

7 y^{^{'}} - 21 x^{2} = 0

integral from-2 to 6 of (2-|x|)

\int_{- 2}^{6} (2 - ∣ x ∣) d x

y^{^{''}} - y = - 1