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MATH 30 PROBLEMS OF THE WEEK SET 4 These problems are due on October 8. 1. Given ( ) 2 3 f x x x , find all values of x where the function is not differentiable. Justify your answer in terms of the definition of the derivative. That is, 0 ( ) ( ) lim h f x h f x fx h . When would this limit fail to exist? 2. Sometimes an incorrect method accidentally produces a correct answer. For quadratic functions (but definitely not most other functions, the average velocity between time ta and time tb equals the average of the velocities at and . To show this, assume 2 () f t At Bt C is the position function. Show that the average velocity between
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