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Beliebt Rechnen >

derivative arcsin(x^2)

Lösung

ableitung von

arcsin (x^{2})

Lösung

\frac{2 x}{1 - x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (arcsin (x^{2}))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{1 - ( x ^{2} ) ^{2}} \cdot 2 x : \frac{2 x}{1 - x ^{4}}

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

Graph

Beliebte Beispiele

derivative of cos(x/2 1/2)

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maclaurin (x^2)/((4+x^2)^2)

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integral of e^x-1

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\int x (x + \frac{1}{x}) d x