brendan32204 brendan32204

22-07-2020
Mathematics

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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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