Let fx excosx on domain 02pi Determine the subintervals of t

Let f(x) =(e^x)cosx on domain [0,2pi]. Determine the subintervals of the domain on which f(x) is concave up and down. Answers in interval notation

Solution

\\(f(x) = e^x\\cos x;\\;\\; f\' = e^x(\\cos x - \\sin x) = 0 ;\\; \\forall x = (2n + 1)\\pi/4\\) It is concave up \\(\\forall x \\in (\\frac{\\pi}{2}, 2\\pi)\\) Concave down \\(\\forall x \\in (0, \\frac{\\pi}{2})\\)
Let f(x) =(e^x)cosx on domain [0,2pi]. Determine the subintervals of the domain on which f(x) is concave up and down. Answers in interval notationSolution \\(f(

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