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Describe the x-values at which fis not differentiable. Justify your answer. 8 - 5 4 - 3 - 2 - 1 14 X = 4

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Describe the x-values at which fis not differentiable. Justify your answer. 8 - 5 4 - 3 - 2 - 1 14 X = 4 - 3+ x = -3, 3 x = -31,-21 2, 3 -3 X = 2 X = 0 X = Z Graph of f The graph of the function fis shown above. Of the following intervals, on which is f continuous but not differentiable? a) (0, 1) b) (1,2) C) (2, 3) d) (3,4) Using the limit based definition of a derivative, evarawf (2 ) =1 7- 2 if x # 2 1 if x = 2 Let fbe the function defined above. Which of the following statements about fare true? 1. fhas a limit at x=2. 11. fis continuous at x=2. Ill. fis differentiable at x=2 . a) I only b) II only c) III only d) I and II only e) I, II and III Find the equation of the tangent line to f(x) at the given value of x. 1. f(x) =x -3x+6 atx =1 2. f ( x) = V3x +7 atx =4 Using the limit based definition of a derivative, evara

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