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April 18th, 2014, 09:35 AM | #1 |
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित | maximum value
find the condition for maximum value for y. y = sin arc (x sin r1) + sin arc (x sin r2) also, r1 + r2 = K (constant) |
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April 19th, 2014, 12:15 AM | #2 |
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित | edit
i didnt know how to edit this post. i am looking for the MINIMUM value instead of MAXIMUM. |
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April 19th, 2014, 09:03 AM | #3 |
Math Team Joined: Dec 2013 From: Colombia Posts: 7,274 Thanks: 2435 Math Focus: Mainly analysis and algebra |
It doesn't make a lot of difference. You need to differentiate wrt x. Can you do that? I had a quick go at home, but I can't really see the point of the second equation (unless the $r_i$ are supposed to be functions of x. But even then, it looks a bit nasty to me. |
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April 19th, 2014, 09:19 AM | #4 |
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित |
sorry i could not differentiate it. first differentiation = 0 second differentiation > 0 (for minimum) i should differentiate y with respect to r1 or r2 ? |
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April 19th, 2014, 09:20 AM | #5 |
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित |
i forgot to mention, x = constant ![]() |
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