Determine the points of inflections with trig

The video tutorial explains how to use the second derivative test to find points of inflection in a function. It begins by finding the first and second derivatives, then uses the unit circle to determine when the second derivative equals zero. The tutorial emphasizes the importance of checking points to the left and right of potential inflection points to confirm changes in concavity. The instructor also highlights common mistakes and the need for careful evaluation, concluding with a summary of key concepts and takeaways.

What is the second derivative of the function discussed in the text?

What is the significance of the unit circle in determining the values of sine?

At what values does sine of X equal zero according to the discussion?

Why is it unnecessary to include the endpoints zero and two pi in the analysis?

What point of inflection is identified in the text?

Explain the importance of correctly identifying the points versus the values in the context of this discussion.

How does the concavity change at the point of inflection?