CPM Homework Help : CALC Problem 4-167

Using your graphing calculator, find all relative maximums and minimums, points of inflection, and discontinuities of the curve $y = \frac { \operatorname { sin } x } { x }$ between $-2π ≤ x ≤ 2π$ . .

Hint 1:

Careful!
Recall that a maximum (and a minimum) is defined as a $y$ -value, and that $y$ -value must exist.
What does that mean about the maximum of

Hint 2:

To find the minimum values and the point of inflection, you will need to examine $f^\prime(x)$ and $f^{\prime\prime}(x)$ , and then find their respective zeros. Remember that we are only considering the the domain $−2π ≤ x ≤ 2π$ .

Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: Calc 4-167 HW eTool