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-   -   Horizontal tangent lines (https://www.askmehelpdesk.com/showthread.php?t=325097)

  • Mar 4, 2009, 07:26 PM
    slack
    Horizontal tangent lines
    Find all the values of x where the graph of the function g(x)=2.25x^(4)+(36/3)x^(3)-144x^(2)+37 has a horizontal tangent line.
  • Mar 5, 2009, 07:43 AM
    galactus
    Differentiate, set to 0 and solve for x.

    When you differentiate, set to 0 and solve for x, you will have a cubic with three solutions. Those solutions are where the tangent lines are horizontal.

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