Question
a.)Determine the location of the turning points for the cubic y=x^3-3x^2+2x+10. What are the maximum and minimum values for this function?
b.)Use the fact that a cubic is symmetric about its point of inflection to determine the location of the point of inflection of the cubic in part (a).
b.)Use the fact that a cubic is symmetric about its point of inflection to determine the location of the point of inflection of the cubic in part (a).
Answers
bobpursley
pre cal...wondering if you have had derivites.
y'=2x^2-6x+2=0
so max, min occur at (x-1)(x-2)=0 or at x=1, or x=2
y"=4x-6=0 or x=1.5 (halfway between roots at 1 and 2)
values of the max..putx=1, x=2 into the original equation, and commpute y.
y'=2x^2-6x+2=0
so max, min occur at (x-1)(x-2)=0 or at x=1, or x=2
y"=4x-6=0 or x=1.5 (halfway between roots at 1 and 2)
values of the max..putx=1, x=2 into the original equation, and commpute y.
WALE
so what are the turning points