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Popular >

derivative of sqrt(arcsech(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Popular Examples

(\partial)/(\partial x)(6x^{1/2}+2y)

\frac{\partial}{\partial x} (6 x^{\frac{1}{2}} + 2 y)

limit as x approaches 0 of sin(x)ln(4x)

x \to 0 lim (sin (x) ln (4 x))

f(x)=3\sqrt[3]{x}

integral of (In(x+1))/(sqrt(x+1))

\int \frac{I n ( x + 1 )}{x + 1} d x

limit as h approaches 0 of ((8+h)-(8))/h

h \to 0 lim (\frac{( 8 + h ) - ( 8 )}{h})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(arcsech(x)) ?
The derivative of sqrt(arcsech(x)) is 1/(2sqrt(arcsech(x)))(-1/(xsqrt(x+1)\sqrt{-x+1)})
What is the first derivative of sqrt(arcsech(x)) ?
The first derivative of sqrt(arcsech(x)) is 1/(2sqrt(arcsech(x)))(-1/(xsqrt(x+1)\sqrt{-x+1)})