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26 October, 06:03

Find all the values of x where the tangent line is horizontal.

2x^3+36x^2+192x+12

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  1. 26 October, 06:32
    0
    At x = - 4 and - 8

    Take the derivative of the given equation to find rate of change of the graph.

    f' (x) = 6x^2 + 72x + 192

    At a horizontal tangent, f' (x) = 0, so set the equation equal to 0 and solve. Eventually you get x = - 4 and - 8
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