Question #87d49 Calculus Graphing with the First Derivative Identifying Stationary Points (Critical Points) for a Function 1 Answer Jim H Mar 4, 2017 2 and 6 Explanation: f'(x) = (2x(x-4)-(x^2-12)(1))/(x-4)^2 = (x^2-8x+12)/(x-4)^2 f' exists for all x in the domain of f and f'(x) = 0 at 2 and at 6 Answer link Related questions How do you find the stationary points of a curve? How do you find the stationary points of a function? How many stationary points can a cubic function have? How do you find the stationary points of the function y=x^2+6x+1? How do you find the stationary points of the function y=cos(x)? How do I find all the critical points of f(x)=(x-1)^2? Let h(x) = e^(-x) + kx, where k is any constant. For what value(s) of k does h have... How do you find the critical points for f(x)=8x^3+2x^2-5x+3? How do you find values of k for which there are no critical points if h(x)=e^(-x)+kx where k... How do you determine critical points for any polynomial? See all questions in Identifying Stationary Points (Critical Points) for a Function Impact of this question 1531 views around the world You can reuse this answer Creative Commons License