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Beliebt Rechnen >

derivative of arcsec(7x)

Lösung

\frac{d}{d x} (arcsec (7 x))

Lösung

\frac{1}{x 49 x ^{2} - 1}

Schritte zur Lösung

\frac{d}{d x} (arcsec (7 x))

Wende die Kettenregel an:

\frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \frac{d}{d x} (7 x)

= \frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= \frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \cdot 7

Vereinfache

\frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \cdot 7 : \frac{1}{x 49 x ^{2} - 1}

= \frac{1}{x 49 x ^{2} - 1}

Graph

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