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Beliebt Rechnen >

derivative g(x)=sqrt(9-x^2)

Lösung

ableitung von

g (x) = 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

tangent f(x)=-4-x^2

t an g e n t f (x) = - 4 - x^{2}

integral from-infinity to 0 of 1/(3-9x)

\int_{- \infty}^{0} \frac{1}{3 - 9 x} d x

integral of (ln(x^2))/(2x)

\int \frac{ln ( x ^{2} )}{2 x} d x

(dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50

\frac{d y}{d x} = \frac{1}{10} y - \frac{1}{5000} y^{2}, y (0) = 50

limit as x approaches pi of 1

x \to π lim (1)