Question: find f' (x) for the given function.52. Let f(x) x- + 4x + 3 . A student recognizes that this x+1 function can be simplified

find f' (x) for the given function.52. Let f(x) x- + 4x + 3 . A student recognizes that this x+1 function can be simplified as f(x) = x2 + 4x + 3 ( x + 1) (x+ 3) =x+3. x+1 x+1 Since y = x + 3 is a line with slope 1, the student makes the following conclusions: f' (-2) = 1, f(-1) = 1, f(0) = 1, f(1) = 1. Where did the student make an error? 53. Consider the function f given by - 9 f(x) = x +3

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