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Hi all
İ have an equation like r(x)=1-x^2.
İs it possible to find max value of function.
Regards
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Hi Seçkin. Some notes about finding maxs. maximun.sm (20kb) downloaded 158 time(s).Best regards. Alvaro.
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1 user thanked Razonar for this useful post.
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Hi Ronazar thanks for your answer.
İs it possible to find inverse of max value
For example f(5)=2 ise inverse of 2 equals 5
Thanks
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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 preparation Visit Golden ration posted next few minutes Cheers.
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Originally Posted by: Seç Ä°s it possible to find inverse of max value For 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 24 time(s). Inst_ISA [Landing altitude PDF].sm (306kb) downloaded 18 time(s).
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Originally Posted by: Seç Hi Ronazar thanks for your answer.
İs it possible to find inverse of max value
For example f(5)=2 ise inverse of 2 equals 5
Thanks 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.
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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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