# Math Help - relative minimum

1. ## relative minimum

question:

2. Originally Posted by DINOCALC09
question:
there seems to be only one. at the base of the circular part of the curve. what x value is that?

3. ok. thanks. that would be x=1

one other question, is there a way to find the relative minimum analytically?

4. Originally Posted by DINOCALC09
ok. thanks. that would be x=1

one other question, is there a way to find the relative minimum analytically?
yes. find the formula for the function. find it's derivative and set it equal to zero. this will give the critical points, where a minimum may occur.

in this case, that option is not recommended. you will have to define it as a piece-wise function (here, it would have 4 pieces) and differentiate each piece and so on. too much work