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June 7th, 2010, 07:13 PM   #1
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Direction of max increase

Find the direction of max increase of at point (1,-1)

I got 12i-6j ?

Also how do you find the max constraint of f(x,y)=4xy subject to the constraint x^2+ (y+1)^2 = 1 ?


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June 8th, 2010, 06:45 AM   #2
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Re: Direction of max increase

Am I on the wrong forum?
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June 8th, 2010, 08:37 AM   #3
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Re: Direction of max increase

Quote:
Originally Posted by jj007
Am I on the wrong forum?
Right forum.
The max increase result is correct.
Have you learned Lagrange multipliers?
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June 8th, 2010, 08:57 AM   #4
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Re: Direction of max increase

if and only if there exists such that

Therefore for some iff Differentiate the expression to find its extrema, and then figure out which is the maximum.
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