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**habibixox** For x ∈ [−12, 11] the function f is defined by

f(x) = x3(x + 6)^6

On which two intervals is the function increasing (enter intervals in ascending order)?

Find the region in which the function is positive: to

Where does the function achieve its minimum?

when i derived it i got

3x^2(x+6)^6 + 6x^3(x+6)^5

then you set it equal to zero... how do i use the algebra part now?

I tried something like this:

(x+6)^5 [3x^2(x+6)+ 6x^3]

please help!

I got all the answers now but the last....

when does it reach it's minimum?