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let f(x)=x^3+3x^2-2x+4

What are the critical values?

Where are the relative extrema, if they exist?

  • math - ,

    critical values are values in the domain where f'(x) = 0

    since f'(x) = 3x^2 + 6x - 1, the critical values would be (-3±2√3)/2

    the extrema occur at the critical values.

  • math - ,

    oops. f' = 3x^2 + 6x - 2.
    extrema at x=(-3±√15)/3

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