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Consider the function. 3x, xs1 f ( x) = w x > 1 (a) Sketch the graph of the function. W 3 3 2 2
Consider the function. 3x, xs1 f ( x) = w x > 1 (a) Sketch the graph of the function. W 3 3 2 2 2 2 1 1 X 1 2 3 4 5 X X X -5 -4 -3 -2 -1 -5 -4 -3 -2 -1 1 2 3 4 5. -5 -4 -3 -2 -1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5. -1 -21 -2 -2 -2 -3 -3 -3 -3 -4 -4 -4 -4 -5 -5 -5 O O O (b) Use the definition of a derivative to show that the function is not differentiable at x = 1. As X - 17 f'(1) = 3 As X - 1+ f'(1) = OO X The limits are not v equal
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