### Home > CALC > Chapter 4 > Lesson 4.5.1 > Problem4-167

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 $-2π ≤ x ≤ 2π$. .

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

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