Which of the following statements is true about the function f whose derivative is f'(x) = (x - 1)2(x – 2)? %3D O a. f is decreasing on (1, co). O b. The graph of f is concave downward on (1,5/3) O c. f has a local maximum when x = 1 O d. f has a local maximum when x = 2 O e. None of these.

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A: Here is the solution:

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A: Take a partial fraction

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A: We can solve this as follows:

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A: here i am providing my hand written solution

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A: Apply Lagrange multiplier

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A: Topic:- algebra

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