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Beliebt Rechnen >

derivative of 2sqrt(1-x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

limit as x approaches infinity of x^2+x

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

derivative f(x)=\sqrt[3]{x^4}

d er i v a t i v e f (x) = 3 x^{4}

limit as x approaches+(-1) of-x^2+4x-5

x \to + (- 1) lim (- x^{2} + 4 x - 5)

(dy)/(dx)=4xsqrt(1-y^2)

\frac{d y}{d x} = 4 x 1 - y^{2}

integral of (1-cos(x))

\int (1 - cos (x)) d x