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Calculus

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1. Find all relative extrema of the function f(x)=x^(6/7)-3. Use the Second Derivative Test where applicable.
2. Find all relative extrema of the function f(x)=2x^4-16x^3+4. Use the Second Derivative Test where applicable.

  • Calculus - ,

    as you know,
    extrema where f'=0 and f''≠0

    1.
    f' = 6/7 x^(-1/7) is never zero

    2.
    f' = 24x^2 - 96x = 24x(x-4)
    f'' = 48x

    should be easy now to locate extrema

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