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April 18th, 2014, 09:35 AM   #1
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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
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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
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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
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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
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i forgot to mention,

x = constant
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