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In: Math

f(x) = (2x − 3)(x 2 − 6) (a) Write formulas for f '(x) and f...

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.)

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