derivative of arcsech(sqrt(1-x^2))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

\frac{d}{d x} (x \cdot e^{x y})

\frac{d}{d x} ((cos^{2} (x))^{x})

x \to 0 - lim (x^{3} + 3 x + 2)

e^{x} y \cdot \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

x \to 0 + lim ((tan (2 x))^{2})