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Beliebt Rechnen >

derivative arcsec(4x)

Lösung

ableitung von

arcsec (4 x)

Lösung

\frac{1}{x ^{2} 16 x ^{2} - 1}

Schritte zur Lösung

\frac{d}{d x} (arcsec (4 x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 x) = 4

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

Vereinfache

\frac{1}{( 4 x ) ^{2} ( 4 x ) ^{2} - 1} \cdot 4 : \frac{1}{x ^{2} 16 x ^{2} - 1}

= \frac{1}{x ^{2} 16 x ^{2} - 1}

Graph

Beliebte Beispiele

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