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Sketch the graph of a differentiable function y = f(x) with the following properties.

f(2) = 3, f'(2) = 0, and

(a) f'(x) > 0 for x < 2, f'(x) < 0 for x > 2

(b) f'(x) < 0 for x < 2, f'(x) > 0 for x > 2

(c) f'(x) < 0 for x not equalt to 2

(d) f'(x) > 0 for x not equal to 2

Please help.

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