1. Consider the following Pieces wise function:
F(x)={ 4x/(x^2+1) −4 ≤ x ≤ 0
{-x/(4x^2+1) 0<>
(a) Is f(x) continuous at x = 0? Explain why. Show work
(b) Is f(x) differentiable at x = 0? Explain why. Show work
(c) Find all the critical points of f(x).Show work
(d) Find the (absolute) maximum and minimum of f(x). Show work
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