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Math Help - determine constants 2

  1. #1
    Senior Member euclid2's Avatar
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    determine constants 2

    consider the function f(x)=3x^4+ax^3+bx^2+cx+d

    a. find constants a,b,c and d such that that graph of f will have horizontal tangents at (-2,-73) and (0,-9)

    b. there is a third point that is a horizontal tangent. find this point.

    c. for all three points, determine whether each corresponds to a local maximum, local minimum, or neither.
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  2. #2
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    Plug everything into the function and its derivitive. Solve for coefficents. Do the rest
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