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Post by mondo on May 30, 2023 6:40:19 GMT
Here is my attempt to solve this Exercise page 356.docx (74.52 KB) Vasco, do you have your solution for this? Author also mentions it can be done with ordinary calculus, I wonder if that would boil down to the calculation of derivative and then equating it with 0 to find where it becomes a maximum? |
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Post by Admin on May 31, 2023 19:15:49 GMT
Here is my attempt to solve this View AttachmentVasco, do you have your solution for this? Author also mentions it can be done with ordinary calculus, I wonder if that would boil down to the calculation of derivative and then equating it with 0 to find where it becomes a maximum? Mondo I'll have a look at your answer and get back to you. Vasco |
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Post by mondo on Jun 3, 2023 16:39:43 GMT
I have updated the "shortcut" method in my document with a generic formula to find the MAX and MIN for a point inside the square. Here is the updated version. However the method suggested by author, which I also cover in my document seems to assume a calculation of gradient and then finding where the maximum happens by equating it with 0. I got the same answer with this method however this seems to be much more complicated - two derivatives needed of a fairly complicated formula and then a need to solve for 0 whereas the first method just plugs values. Attachments:Exercise page 356.docx (343.23 KB)
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