Set f'(x) = 0 and solve for a, b given x.
x=0:
At a general point x=c:
Consider where a and b are real numbers.
For what values of a and b does f have an extremum at x = 0?
For what values of a and b does f have an extremum at x = c?
I started out by differentiating:
At extremum f'(x) = 0. So setting f'(x) = 0 and x = 0,
? Doesn't seem to be correct.
I don't know where to go from here to solve this problem. If anyone could help me out, would be greatly appreciated, I don't understand the overall concept of hyperbolic functions very well. Thanks!
I am unsure if the term "extremum" refers to local or abolute min, I don't know if it applies, however is it sufficient to only set the derivative to equal zero for extremum or will the second derivative test need to be used to verify that these are not points of inflection?