Calculus

Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain.

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asked by Jet
  1. I assume you mean (∛x^2)(2x+5)^3

    ∛ has domain all reals
    all polynomials have domain all reals.

    f' = 2(2x+5)^2(11x+5) / 3∛x

    Now we see that f' is undefined for x=0
    f'=0 for x = -5/2 and -5/11

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    posted by Steve

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