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Beliebt Rechnen >

derivative of arcsin(6x)

Lösung

\frac{d}{d x} (arcsin (6 x))

Lösung

\frac{6}{1 - 36 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (arcsin (6 x))

Wende die Kettenregel an:

\frac{1}{1 - ( 6 x ) ^{2}} \frac{d}{d x} (6 x)

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

\frac{d}{d x} (6 x) = 6

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

Vereinfache

\frac{1}{1 - ( 6 x ) ^{2}} \cdot 6 : \frac{6}{1 - 36 x ^{2}}

= \frac{6}{1 - 36 x ^{2}}

Graph

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