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Find the relative extrema, if any, of the function. Use the second derivative test, if applicable.

g(x)=4x^2+7x+6


relative maximum

(x, y) = (, )



relative minimum

(x, y) = (, )

  • math -

    your curve is a parabola opening upwards, so there is only one minimum and no maximum196/64 + 7(

    g ' (x) = 8x + 7
    = 0
    8x = -7
    x=-7/8

    g(-7/8) = 196/64 - 49/8 + 6
    = 47/16

    minimum or vertex is (-7/8 , 47/16)

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