Chapter 5.1, Problem 15E

Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as x--> 0 b. f--> -1 as x-->0 c. f-->1 as x-->0 d. f--> 0 as x-->0 e. f--> -infinity as x-->0

Determine the open intervals on which the graph of the function is concave upward or concave downward.

Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x) = x4 - 8x² + 7 Part 1 of 6 According to the instruction of the question, we use the Second Derivative Test first. If it fails, then we will use the ---Select--- Notice that the domain of g is (Enter your answer using interval notation.) First, find the first and second derivatives of g(x) = x4 – 8x² + 7. g'(x) = g" (x) =