Find the inflection points of f(x)=6x^4+34x^3−18x^2+10. (Give your answers as a comma separated list, e.g., 3,-2.)

1 answer

1. f'(x) = 24x^3 + 102x^2 - 36x
   f''(x) = 72x^2 + 204x - 36
   = 0 at the points of inflection
   
   divide each term by 12
   6x^2 + 17x - 3 = 0
   (x+3)(6x-1) = 0
   x = -3 or x = 1/6
   
   so there are 2 points of inflection , one with x = -3 and the other with x = 1/6
   plug those values into the original to their corresponding y values.

   Answer ID
   523661

   Created
   April 1, 2011 1:15am UTC

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   https://questions.llc/answers/523661