Math

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For x [–14,13] the function f is defined by
f(x)=(x^3)(x+6)^4
On which two intervals is the function increasing (enter intervals in ascending order)?

I got increasing intervals between [-14, -6], but can't find the other increasing interval. I believe it is [-3, 13] but I get the answer is wrong. Thanks again.

  • Math -

    The places where the function changes from increasing to decreasing are where f'(x) = 0

    f'(x) = 3x^2(x+6)^4 + 4(x+6)^3*x^3
    = (x+6)^3 [7x^3 +18x^2]

    I can see that becoming zero at x=0, x=-6, and x = -18/7, but not at x=-3

    recheck your numbers and mine

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