### Home > CALC > Chapter 5 > Lesson 5.1.3 > Problem 5-26

5-26.

*f* '(2) = 0 means that there COULD be a local maximum or local minimum at *x* = 2.*f* ''(2) < 0 means that *f*(*x*) is concave down at *x* = 2, confirming that *x* = 2 is a local ________________________.

If slope is positive on the left side of a point and negative on the right side, the that point is the location of a local ___________________.