Find the slope of the tangent to the curve `y=(x-1)/(x-2), x!=2`at `x= 10`.

Explanation

`y = (x-1)/(x-2)`
` rArr (dy)/(dx) = ((x-2)d/(dx)(x-1)-(x-1)d/(dx)(x-2))/((x-2)^(2))`
` = ((x-2)-(x-1))/((x-2)^(2))=(-1)/((x-2)^(2))`
at x = 10
Slope of tangent
` m = (-1)/((10-2)^(2)) =-1/64`