derivative arcsec(x)-8x

Lösung

ableitung von

arcsec (x) - 8 x

\frac{1}{x ^{2} x ^{2} - 1} - 8

Schritte zur Lösung

\frac{d}{d x} (arcsec (x) - 8 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (arcsec (x)) - \frac{d}{d x} (8 x)

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

\frac{d}{d x} (8 x) = 8

= \frac{1}{x ^{2} x ^{2} - 1} - 8