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    Critical Points and Maximum and Minimum Values

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    Find the critical points and use your test of choice to give local maximum and minimum values. Give those values.

    f(x) = x^2 /sqrt(x^2 + 4)

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    Solution Preview

    write f(x) =x^2 * (x^2+4)^-1/2
    note: "^" means to the power of
    take the first derivative:
    f' = 2x* (x^2+4)^-1/2 -1/2 x^2 * (x^2+4)^-3/2*2x
    = 2x* ...

    Solution Summary

    For a given fonction, critical points and maximum and minimum values are found.