Consider the function f(x) = xen ge (a) Determine all the critical number (s) of f(x) in [0.5,2]. (b) what are the local maxima and minima in [0.5, 2]? Are there any inflection points ? (e) where is it increasing / decreasing in [0.5, 2]? where is it concave up/down ? x ln x graph of all the information above. note that In 0.5= (d) Sketch ww j 0.693 in [0.5, 2] using and In2 = 0.693.

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