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Discussion Response Post to:
max. value???
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Differential Calculus
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Author
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23 Apr 2007 14:03:27 IST
Subject:
Re:max. value???
Accepted Answer
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iitkgp_bipin
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Let xy = z
a
2
x
4
+ b
2
y
4
= c
6
a
2
x
4
+ b
2
(z/x)
4
= c
6
z
4
= (a
2
x
8
- c
6
x
4
)/b
2
Now differentiate both sides wrt x and put dz/dx = 0 for maxima.
You will get x
4
= c
6
/2a
2
Putting this in the above equation : y
4
= c
6
/2b
2
Hence x
4
y
4
= (c
6
/2a
2
)(c
6
/2b
2
)
xy = c
3
/(2ab)
1/2
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
this reply: 5
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