2 _ 2) Given the function g (x) = , nd the following: x 3 a) All critical values of g. b) Determine whether there is a local maximum, local minimum, or neither at each critical value. Show a sign chart, as shown in the assigned videos, as part of your work. 3) Given the function f (x) = x5 +15x4 + 25 , find the following: a) Use its second derivative to nd any inection point(s) of f. Give both the x and y coordinate of each inection point. b) Determine over what intervals f is concave up or concave down