for all x, so there are not any critical points to this function.
I am working on a mix/max problem and am stuck.
within the interval of [-1,4]. The exponent of e is , can't get Latex to cooperate with me.
Using the product rule to differentiate and I get:
Factor out the and I get
For all real numbers, the 2nd term will never equal 0, so the only one that can equal 0 is .
I don't know how to solve for x when . Any pointers?
Yup, I see my algebra error, it should be .
I also screwed up the interval. It should be [-4,1].
The derivative is
Some factoring and I get
The e term can't be 0 for all of x (although my TI-84 gives an error when x=-100, not sure why), and the only number that makes the 2nd term zero is either -2 or 2. Only -2 is in the interval, so I need to find out f(x).for x= -4, -2, and 1. Biggest number is max, smallest is min. I might just understand this yet.
I appreciate the help.