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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

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

= 0 - (- \frac{x}{1 - x ^{2}})

Vereinfache

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

Graph

Beliebte Beispiele

derivative 3/(4x+1)

d er i v a t i v e \frac{3}{4 x + 1}

derivative of (2x/(x^2+1))

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

(dy)/(dx)=e^{3x+5y}

\frac{d y}{d x} = e^{3 x + 5 y}

derivative of (x^2+1arctan(x))

\frac{d}{d x} ((x^{2} + 1) arctan (x))

limit as x approaches 0-of x^x

x \to 0 - lim (x^{x})