`y = ln root(3)((x - 1)/(x + 1))` Find the derivative of the function.

Wednesday, March 25, 2015

`y=lnroot(1/3)[(x-1)/(x+1)]`

`y=ln(x-1)^(1/3)-ln(x+1)^(1/3)`

`y=1/3ln(x-1)-1/3ln(x+1)`

`y'=1/[3(x-1)]-1/[3(x+1)]`

` ` `y'=[(x+1)-(x-1)]/[3(x-1)(x+1)]`

`y'=[x+1-x+1]/[3(x-1)(x+1)]`

`y'=2/[3(x-1)(x+1)]`

The derivative of function y is `2/[3(x-1)(x+1)]` .

Ninenotes