At what value of x does the graph of y=9x^(1/3)+x^2 have a point of inflection?
y' = 3x^(-2/3) + 2x
y'' = -2x^(-5/3) + 2
= 0 for a pt of infl.
2/x^(5/3) = 2
x^(5/3) = 1
x = 1
then y = 9(1) + 1 = 10
the point of inflection is (1,10)
y'' = -2x^(-5/3) + 2
= 0 for a pt of infl.
2/x^(5/3) = 2
x^(5/3) = 1
x = 1
then y = 9(1) + 1 = 10
the point of inflection is (1,10)