An inverse tangent identity a. Use derivatives to show that tan¬x + tan(1/x) is constant, for x > 0 and for x < 0. b. Prove that tan¬'x + tan¬'(1/x) = 7/2, for x > 0. c. Prove that tan¬'x + tan¬'(1/x) = -T/2, for x < 0, and SE conclude that tanx + tan¬'(1/x) = {?, if x> 0 -5 ifx < 0.

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