derivative of (sqrt(1-sin^2(x))/(x^2))

Lösung

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

- \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}

Schritte zur Lösung

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

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}} = - \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}

= - \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}