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Beliebt Rechnen >

derivative of arcsin(3x^2)

Lösung

\frac{d}{d x} (arcsin (3 x^{2}))

Lösung

\frac{6 x}{1 - 9 x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (arcsin (3 x^{2}))

Wende die Kettenregel an:

\frac{1}{1 - ( 3 x ^{2} ) ^{2}} \frac{d}{d x} (3 x^{2})

= \frac{1}{1 - ( 3 x ^{2} ) ^{2}} \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (3 x^{2}) = 6 x

= \frac{1}{1 - ( 3 x ^{2} ) ^{2}} \cdot 6 x

Vereinfache

\frac{1}{1 - ( 3 x ^{2} ) ^{2}} \cdot 6 x : \frac{6 x}{1 - 9 x ^{4}}

= \frac{6 x}{1 - 9 x ^{4}}

Graph

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