Suppose that f'(x)=(x+1)(x-1)^3(x+2). (Note that this is f' not f) Which critical number(s) give a relative (local) maximum value of a function f.
a) -2 b) -1 c) 1 d) -2 and -1

Question

Suppose that f'(x)=(x+1)(x-1)^3(x+2). (Note that this is f' not f) Which critical number(s) give a relative (local) maximum value of a function f.
a) -2 b) -1 c) 1 d) -2 and -1

anonymous · Answer

it changes sign at each critical point, so your need only to see if it goes from being positive to negative (which would give you a max) or negative to postive, which would indicate a min
can you do that?

anonymous · Answer

I have no idea how to do that. I have reviewed my notes multiple to find an example that looks somewhat similar and I've had no luck so I'm completely stuck on how to solve this.

anonymous · Answer

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