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Beliebt Rechnen >

derivative y=sqrt(9-x^2)

Lösung

ableitung von

y = 9 - x^{2}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 9 - x ^{2}} (- 2 x) : - \frac{x}{9 - x ^{2}}

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

Graph

Beliebte Beispiele

integral of 18x^2

\int 18 x^{2} d x

limit as h approaches 0 of 8

h \to 0 lim (8)

integral of csc(2x)cot(2x)

\int csc (2 x) cot (2 x) d x

integral from 0 to pi of sin(x)cos(nx)

\int_{0}^{π} sin (x) cos (n x) d x

t(dy)/(dt)+3y=3t

t \frac{d y}{d t} + 3 y = 3 t