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Beliebt Rechnen >

derivative sqrt(5-x^2)

Lösung

ableitung von

5 - x^{2}

Lösung

- \frac{x}{5 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (5 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 5 - x ^{2}} \frac{d}{d x} (5 - x^{2})

= \frac{1}{2 5 - x ^{2}} \frac{d}{d x} (5 - x^{2})

\frac{d}{d x} (5 - x^{2}) = - 2 x

= \frac{1}{2 5 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 5 - x ^{2}} (- 2 x) : - \frac{x}{5 - x ^{2}}

= - \frac{x}{5 - x ^{2}}

Graph

Beliebte Beispiele

integral from-2 to 2 of 1/v

\int_{- 2}^{2} \frac{1}{v} d v

limit as x approaches 0+of x^{5x}

x \to 0 + lim (x^{5 x})

integral of-sin(-x+2)

\int - sin (- x + 2) d x

integral of 1/(4\sqrt[8]{x^2)}

\int \frac{1}{4 8 x ^{2}} d x

integral of 4y^3x

\int 4 y^{3} x d y