Find the derivations of functions, Mathematics

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Find the derivatives of each of the following functions, and their points of maximization or minimization if possible.

a. TC = 1500 - 100 Q + 2Q²

b. ATC = 1500/Q - 100 + 2Q

c. MC = -100 +4Q

d. Q = 550 - 0.5 P

e. Profits = -1500 +1200 Q - 4Q²

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