Let g be a differentiable function such that
That is, does
Yes, f(3) is an extrema candidate! It could be a relative max, a relative min, or neither.
Determine if f(3) is a relative max, relative min or neither. Use the 1st-derivative test:
To do this, determine if
Evaluate a little to the left and a little to the right.
To the left:
To the right: