Problems and Solutions in Optimization
Problem 6. Find the minima and maxima of the function f: R !R f(x) = sin(2x): Problem 7. Consider the analytic function f: R !R f(x) = cos(sin(x)) sin(cos(x)): Show that fadmits at least one critical point. By calculating the second order derivative nd out whether this critical point refers to a maxima or minima. Problem 8. Let x2R and x>0 ... ................
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