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Beliebt Rechnen >

derivative of arccos(5x)

Lösung

\frac{d}{d x} (arccos (5 x))

Lösung

- \frac{5}{1 - 25 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (arccos (5 x))

Wende die Kettenregel an:

- \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

= - \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= - \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5

Vereinfache

- \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5 : - \frac{5}{1 - 25 x ^{2}}

= - \frac{5}{1 - 25 x ^{2}}

Graph

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