Consider the following function.

h(u,v) = 2u³+ 12uv 6v²

(a)Find the critical points ofh.

(b)For each critical point in (a), find the value ofD(a,b) from the Second Partials test that is used to classify the critical point.

Separate your answers with a comma. Your first value ofDmust correspond to the first critical point in (a) [i.e., the critical point (0,0)], and your second value ofDmust correspond with the second critical point.

(c)Use the Second Partials test to classify each critical point from (a).

Note that for each given answer, the first classification corresponds to the first critical point in (a) [i.e., the critical point (0,0)] and the second classification corresponds to the second critical point in (a).