Posted by mark11 on Friday, February 22, 2013 at 9:07pm.
use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point.
log (xy)= 2; (4, 25)

calculus  Steve, Saturday, February 23, 2013 at 4:54am
log(xy) = 2
1/(xy) (y + xy') = 0
1/x + 1/y y' = 0
y' = y/x
Or, going about it another way,
logx + logy = 2
1/x + 1/y y' = 0
y' = y/x
So, plug in your numbers.
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