In the given question we have to find the points local max. And local min. And corresponding local max. And min values. Ques:- f(x)= x+a^2/x,a>0. I was able to find local max. And min. Point but unable to find its values. Please help and consider my problem. Thank you
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Find the solutions to f'(x)=0 and then evaluate f(x) for those solutions. Those are the y values or function values..
The maximum is the critical point with the largest y value. Don't forget there can also be other types of critical points.
The maximum is the critical point with the largest y value. Don't forget there can also be other types of critical points.
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Differentiate and u will get
1-a^2/x^2=0
so x = +-a
Put x as +_a
a + a = 2a
-a-a = -2a
1-a^2/x^2=0
so x = +-a
Put x as +_a
a + a = 2a
-a-a = -2a