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Beliebt Rechnen >

derivative of arcsech(x)

Lösung

\frac{d}{d x} (arcsech (x))

Lösung

- \frac{1}{x x + 1 - x + 1}

Schritte zur Lösung

\frac{d}{d x} (arcsech (x))

Wende die allgemeine Ableitungsregel an:

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

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

Vereinfache

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

= - \frac{1}{x x + 1 - x + 1}

Graph

Beliebte Beispiele

integral of 1/(tan(x)sec(x))

\int \frac{1}{tan ( x ) sec ( x )} d x

(\partial)/(\partial y)(x^5y^{10}cos(xy^2))

\frac{\partial}{\partial y} (x^{5} y^{10} cos (x y^{2}))

derivative of 25e^{5x}

\frac{d}{d x} (25 e^{5 x})

derivative f(x)=sin^3(3x)

d er i v a t i v e f (x) = sin^{3} (3 x)

integral of 25sin^2(x)

\int 25 sin^{2} (x) d x