Question

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

0
−1
−2
None of these
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Answer 1

do you know what \(y=(x+1)(6+3x)\) looks like?

Answer 2

a parabola

Answer 3

upward

Answer 4

@satellite73

Answer 5

a parabola that opens up, right
and the zeros are?

Answer 6

-1 and -2

Answer 7

ok good so lets draw a quick picture

Answer 8

at \(x=-2\) the derivative goes from being positive (above the x axis) to negative (below the x axis)
that tells you the function goes from increasing to decreasing at \(-2\)
i.e. up and then down
therefore \(-2\) is a relative max