What is the derivative of arcsech(x) ?

The derivative of arcsech(x) is -1/(xsqrt(x+1)\sqrt{-x+1)}

What is the first derivative of arcsech(x) ?

The first derivative of arcsech(x) is -1/(xsqrt(x+1)\sqrt{-x+1)}

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

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

Solution steps

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

Apply the common derivative:

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

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

Simplify

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

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

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

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

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

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

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

What is the derivative of arcsech(x) ?
The derivative of arcsech(x) is -1/(xsqrt(x+1)\sqrt{-x+1)}
What is the first derivative of arcsech(x) ?
The first derivative of arcsech(x) is -1/(xsqrt(x+1)\sqrt{-x+1)}