derivative of tan(arccos(x))

Lösung

\frac{d}{d x} (tan (arccos (x)))

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

Schritte zur Lösung

\frac{d}{d x} (tan (arccos (x)))

Wende die Kettenregel an:

sec^{2} (arccos (x)) \frac{d}{d x} (arccos (x))

= sec^{2} (arccos (x)) \frac{d}{d x} (arccos (x))

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

= sec^{2} (arccos (x)) (- \frac{1}{1 - x ^{2}})

Vereinfache

sec^{2} (arccos (x)) (- \frac{1}{1 - x ^{2}}) : - \frac{1}{x ^{2} 1 - x ^{2}}

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

\int_{0}^{1} (x + 1)^{3} d x

x \to - 1 lim (2 - 3 x)

x \to \infty lim (8 - 2 x)

\frac{\partial}{\partial y} (x^{2} + y^{2} - 1)

\frac{d}{d x} (- \frac{14}{x ^{6}})