In: Math
f(x) = (2x − 3)(x 2 − 6)
(a) Write formulas for f '(x) and f ''(x).
(b) Find all x-intercepts of f(x). (Exact answers, no decimals.)
(c) Find all critical points of f(x). (x-values only; y-values not needed.) Classify them using the 1st or 2nd derivative test.
(d) Find all inflection points of f(x). (x-values only; y-values not needed.)