The function f(x, y) = 10?x 2?4y 2+2x has one critical point.
Find that critical point...
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The function f(x, y) = 10?x 2?4y 2+2x has one critical point.Find that critical point and show that it is not a saddle point.Indicate whether this critical point is a maximum or a minimum, andfind that maximum or minimum value.
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Solution The given function isTo find the critical point of the given function we will firstpartially differentiate the given function with respect toand and then equate the results obtained equal to zero ieand Calculating the first partial derivative with respect to we
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