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Beliebt Rechnen >

(\partial)/(\partial x)(arcsin(3x))

Lösung

\frac{\partial}{\partial x} (arcsin (3 x))

Lösung

\frac{3}{1 - 9 x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (arcsin (3 x))

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (3 x) = 3

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

Vereinfache

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

= \frac{3}{1 - 9 x ^{2}}

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