f'(x)=-72 when -6x2+6x+180=-72, i.e. when
x=35 or -34.
The graph is so steep it is almost impossible to see the changes...of course, it is a cubic which passes through the origin; to have the slope be -72 in 2 places is no surprise.

Marie S.
Thank you! How would I then determine the intersection between the tangent found and the axes of the coordinate system?
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04/18/22
Mark M.
Yet -34 and 35 are outside the stated domain of x.04/17/22