Asked by Sarah
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
a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity.
b)find any local extrema
c)find points of inflection
Answers
Answered by
Steve
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
horizontal asymptote at y = -x^2/x^2 = -1
extrema where f'=0 : at x=5
inflection where f"=0 : at x=7
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