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goldenfox [79]
2 years ago
15

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

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
3 0

Answer:

x = -1

Step-by-step explanation:

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

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