brendan32204 brendan32204
  • 22-07-2020
  • Mathematics
contestada

Given f '(x) = (x + 1)(6 + 3x), find the x-coordinate for the relative minimum on the graph of f(x).

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itsyaboi7789 itsyaboi7789
  • 22-07-2020

Answer:

x = -1

Step-by-step explanation:

The easiest way is just to find the antiderivative and graph.  The antiderivative is [tex]x^{3} + 4.5x^{2} + 9x + C[/tex].  Graphing this with any C shows that [tex]x=-1[/tex] is the relative minimum.

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