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1. (14 points) Let r be a nonzero real number and let f be the function f(x) = x -rlnx-1. (a) Find all critical points

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1. (14 points) Let r be a nonzero real number and let f be the function f(x) = x" -rlnx-1. (a) Find all critical points of f on (0, co). (b) Use the first derivative test to find the global maximum and global minimum of f on (0, oo). (Hint: Consider the cases r > 0 and r 0

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