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 Seçkin USLU #1 Posted : 16 July 2019 08:57:05(UTC) Rank: NewbieGroups: Registered Joined: 02/05/2019(UTC)Posts: 7Location: istanbul Hi allİ have an equation like r(x)=1-x^2.İs it possible to find max value of function.Regards
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 Razonar #2 Posted : 16 July 2019 12:19:02(UTC) Rank: Advanced MemberGroups: Registered Joined: 28/08/2014(UTC)Posts: 445Was thanked: 254 time(s) in 155 post(s) Hi Seçkin. Some notes about finding maxs. maximun.sm (20kb) downloaded 30 time(s).Best regards.Alvaro. 1 user thanked Razonar for this useful post. on 16/07/2019(UTC)
 Seçkin USLU #3 Posted : 16 July 2019 13:06:20(UTC) Rank: NewbieGroups: Registered Joined: 02/05/2019(UTC)Posts: 7Location: istanbul Hi Ronazar thanks for your answer.İs it possible to find inverse of max valueFor example f(5)=2 ise inverse of 2 equals 5Thanks
 Jean Giraud #4 Posted : 16 July 2019 15:08:32(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,313Was thanked: 751 time(s) in 592 post(s) Originally Posted by: Seç Ä°s it possible to find max value of function.The derivative method is just a quick lazy approach for convenience.Derivative operator is symbolic, thus won't work for spline interpolation.The min/max general method is the Golden Ratio. You are confused with your next question "inverse"An InverseFunction is a function that solve the given f(x)... in preparationVisit Golden ration posted next few minutesCheers.
 Jean Giraud #5 Posted : 16 July 2019 15:32:39(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,313Was thanked: 751 time(s) in 592 post(s) Originally Posted by: Seç Ä°s it possible to find inverse of max valueFor example f(5)=2 ise inverse of 2 equals 5... Sorry: don't understand your maths in there.1. Understand InverseFunction 2. ISA altitude as superb application [won't find in Web] Solve Inverse Symbolic Suite.sm (94kb) downloaded 14 time(s). Inst_ISA [Landing altitude PDF].sm (306kb) downloaded 10 time(s).
 Razonar #6 Posted : 17 July 2019 03:10:27(UTC) Rank: Advanced MemberGroups: Registered Joined: 28/08/2014(UTC)Posts: 445Was thanked: 254 time(s) in 155 post(s) Originally Posted by: Seç Hi Ronazar thanks for your answer.İs it possible to find inverse of max valueFor example f(5)=2 ise inverse of 2 equals 5Thanks Hi. If you have a max of y=2 that happen for x=5, then you can't invert y=f(x) near x=5, because then x=5 it's a critical point, then you have f'(5)=0, or a limit of the interval or a discontinuity, and the inverse function theorem it's a local theorem and needs f'(x)≠0 in the study interval.Notice that the inverse function theorem it's easy to see graphically (the function isn't one to one), but very hard to demonstrate, as you can see at: http://people.math.sc.ed...p/InversefunctionThm.pdfBest regards.Alvaro.
 Jean Giraud #7 Posted : 17 July 2019 04:33:16(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,313Was thanked: 751 time(s) in 592 post(s) Revisit your example. The mechanics of Inversing a function is intuitive.However the maths under the hood belongs to few advanced CAS [Maple World top].Mathematica will do same, most of the times of different presentation.Before you do anything with a function => graph.Please, do not hesitate for more.
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