Question

The function f given by f(x) =9x^(2/3) +3x-6 has a relative minimum at x=?.

Answer 1

f '(x) = 6/(x^1/3) + 3 = 0 

x = -8 

Observe that f '(-7) > 0 and f '(-9) < 0. Therefore, we have a relative min at x = -8. 

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