vertical asymptotes where (x-1) = 0 : x=1
horizontal asymptote at y = -x^2/x^2 = -1
extrema where f'=0 : at x=5
inflection where f"=0 : at x=7
For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4
a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity.
b)find any local extrema
c)find points of inflection
1 answer
1 answer