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Beliebt Rechnen >

derivative of (1+arccos(3x)^3)

Lösung

\frac{d}{d x} ((1 + arccos (3 x))^{3})

Lösung

- \frac{9 ( 1 + arccos ( 3 x ) ) ^{2}}{- 9 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((1 + arccos (3 x))^{3})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (1 + arccos (3 x)) = - \frac{3}{- 9 x ^{2} + 1}

= 3 (1 + arccos (3 x))^{2} (- \frac{3}{- 9 x ^{2} + 1})

Vereinfache

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

= - \frac{9 ( 1 + arccos ( 3 x ) ) ^{2}}{- 9 x ^{2} + 1}

Graph

Beliebte Beispiele

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