# Second derivative test

Practice using the second derivative test for extrema.

### Problem

The function space, f, space (not shown) is continuous and differentiable for all real numbers. The graphs of space, f, space, prime, space and space, f, space, start superscript, prime, prime, end superscript, space are shown. Both pass through the point space, left parenthesis, 2, comma, 0, right parenthesis, space.
Which of the following statements best describes what is happening on the function space, f, space at space, x, equals, 2, space?
space
Please choose from one of the following options.