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Please answer it step by step, so I can easily follow it. 9. Each of the following graphs represents the derivative function f'(x) of a

Please answer it step by step, so I can easily follow it.

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9. Each of the following graphs represents the derivative function f'(x) of a function f(x). Determine i. the intervals where f(x) is increasing ii. the intervals where f(x) is decreasing iii. the x-coordinate for all local extrema of f(x) Assuming that f(0) = 2, make a rough sketch of the graph of each function. a. C. y= f (x) /2- y=f (x) 20 2 10 2 4 -2 b. d. TY y= f (x) 2- ly=f'(x) 4 -2 0 2 -2 -2 10. Use the derivative to show that the graph of the quadratic function f(x) = ax + bx + c, a > 0, is decreasing on the interval x - b 2a

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