Algebra

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The polynomial function is defined by f(x)=4x^4+2x^3-8x^-5x+2.

Use a calculator to find all the points (x,f(x)) where there is a local maximum.

Round to the nearest hundredth.

  • Algebra -

    f '(x) = 16x^3 + 6x^2 - 16x - 5 , ( I assumed the second last term was -8x^2 )

    16x^3 + 6x^2 - 16x - 5 = 0

    zeros for this equation exist at
    appr. -1,1 and -.3

    f ''(x) = 48x^2+ 12x - 16
    both f ''(1) and f ''(-1) > 0
    but f ''(-.3) < 0

    so when x = -.3 (appr), we have a local maximum
    I will let you find f(-.3)

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