(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y=arccoth(x), find the derivative

2. Relevant equations

cothx - coshx/sinhx

3. The attempt at a solution

y = arccoth(x)

x = coth(y)

= cosh(y)/sinh(y)

quotient rule = (sinh(y)*sinh(y))-(cosh(y)*cosh(y))/(sinh(y))^2

= sinh^2(y) - cosh^2(y)/sinh^2(y)

x= -1/sinh^2(y)

this is what i got which is the derivative of coth, but no the inverse. Is there a way to go from here and rearrange it back to y =

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# Homework Help: Could i get some help working out dy/dx of arccoth(x)

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