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Beliebt Rechnen >

derivative of sin(arccos(2x))

Lösung

\frac{d}{d x} (sin (arccos (2 x)))

Lösung

- \frac{4 x}{1 - 4 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (sin (arccos (2 x)))

Vereinfache

sin (arccos (2 x)) : 1 - 4 x^{2}

= \frac{d}{d x} (1 - 4 x^{2})

Wende die Kettenregel an:

\frac{1}{2 1 - 4 x ^{2}} \frac{d}{d x} (1 - 4 x^{2})

= \frac{1}{2 1 - 4 x ^{2}} \frac{d}{d x} (1 - 4 x^{2})

\frac{d}{d x} (1 - 4 x^{2}) = - 8 x

= \frac{1}{2 1 - 4 x ^{2}} (- 8 x)

Vereinfache

\frac{1}{2 1 - 4 x ^{2}} (- 8 x) : - \frac{4 x}{1 - 4 x ^{2}}

= - \frac{4 x}{1 - 4 x ^{2}}

Graph

Beliebte Beispiele

derivative of 5cos(4ln(x))

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