Question: (a). (5 points) Consider f(x) = tanx, for x E (-?, ). Prove that f is strictly increasing. (b). (5 points) Consider its inverse,

(a). (5 points) Consider f(x) = tanx, for x E (-?, " ). Prove that f is strictly increasing. (b). (5 points) Consider its inverse, g(x) = arctan x, defined as a function g : R -+ " ) . Prove that g' (x) = 1+ 2' TER. (2)\f

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