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( 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(](/WebImages/45/let-fx-excosx-on-domain-02pi-determine-the-subintervals-of-t-1139860-1761611107-0.webp)