Homework SourseDetermine the critical numbers and classify each critical po
Determine the critical numbers and classify each critical point as a relative maximum, a relative minimum or neither. 3x^4-8x^3+6x^2+2
Solution
3x^4-8x^3+6x^2+2
take derivative
12x^3 - 24x^2+12x = 0
12x( x^2 -2x+1) = 0
{x=1, x=-0}
f\'\'(x) = 36x^2 - 48x + 12
x 0 f\'\'(0) = 12 > 0 minima
f\'\'(1) = 48 - 48 = 0
nethier maxima nor minima
