SOLUTION: f(x)=((x^2)+x)^(2/3);[-2,3]..find the local maximum and local minimum

SOLUTION: f(x)=((x^2)+x)^(2/3);[-2,3]..find the local maximum and local minimum

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Question 696129: f(x)=((x^2)+x)^(2/3);[-2,3]..find the local maximum and local minimum
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
a local is:
for all in the interval [,]

....it will be equal to zero if
....it will be equal to zero if

....it will be equal to zero if

or
....=>..
both solutions, and lie in given interval: , and
so, a local is at:(,) and (,)

as you can see from a graph, there is local

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