Question: Problem: f(x) { 2x(x-1) for x <1 and (x-1)(x-2)(x-3) for x 1} 1. Find critical points 2. Test critical points 3. find local max and

Problem: f(x) { 2x(x-1) for x <1 and (x-1)(x-2)(x-3) for x 1}

1. Find critical points

2. Test critical points

3. find local max and mins

4. find inflection

5. find inflection points

6. draw graph

7. discuss the continuity and the differentiability of F

Please show all work and explain each step please. Thank you

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