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Beliebt Rechnen >

derivative arccos(1-x^2)

Lösung

ableitung von

arccos (1 - x^{2})

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of ((x-1)/2)

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

integral of 1/(7-4x-x^2)

\int \frac{1}{7 - 4 x - x ^{2}} d x

inverselaplace ((s+1))/((s^2+2s+9))

in v erse l a pl a ce \frac{( s + 1 )}{( s ^{2} + 2 s + 9 )}

fläche x=3y,x=2+y^2

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derivative 6u^{-1}

d er i v a t i v e 6 u^{- 1}