Question: Please help me to solve this one Consider the function f(a) = (ac + 1)2 1+x2 The first and second derivatives of f( ) are

Please help me to solve this one

Please help me to solve this one Consider the function f(a) =

Consider the function f(a) = (ac + 1)2 1+x2 The first and second derivatives of f( ) are f' (2 ) = 2(1 - 22) and f" (x) = 4x (2 2 - 3) (1 + 12 )2 (1 + 2 )3 Using this information, (a) Find all relative extrema. (4 points) Minimum: , Maximum: (b) Find the intervals of concavity for f() and identify any inflection points for yourself. (5 points) Concave up: , Concave down: (c) Using the fact that lim f() = 1, and our other information found above, sketch the graph of the function on your scratch paper. (6 points)

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