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Beliebt Rechnen >

derivative of sqrt((1-x^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of ((x-1)^3)/x

\int \frac{( x - 1 ) ^{3}}{x} d x

f(x)=sqrt(3x^2+1)

f (x) = 3 x^{2} + 1

derivative 1/2 x^4

d er i v a t i v e \frac{1}{2} x^{4}

limit as x approaches 2 of x^4+2x+4

x \to 2 lim (x^{4} + 2 x + 4)

integral of (e^{-u})/(sqrt(piu))

\int \frac{e ^{- u}}{π u} d u