Increasing/ Decreasing intervals
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]
I got all the answers now but the last....
when does it reach it's minimum?
Re: URGENT! DUE 12 AM!! Increasing/ Decreasing intervals
You are correct so far. Since you now have two factors that multiply to give 0, at least one of them must be 0.
Originally Posted by habibixox
So (x + 6)^5 = 0 or 3x^2(x + 6) + 6x^3 = 0
You can factorise the second equation further...