Implicit differentiation of arcsec x in under 5 minutes (Calculus 1)

The video is a tutorial on practicing implicit differentiation with a focus on the function
arcsec x = y. The instructor begins by explaining the inverse relationship of arcsec x = y. Using implicit differentiation, the instructor differentiates both sides of the equation. The differentiation process involves the chain rule. By the end of the video, the instructor derives the expression for
dy/dx= 1/(x*(x^2-1)^(1/2) for the given function.

Table of Contents with Time Links:

0:00 - Introduction to the topic and the function to be differentiated.
0:40 - Explanation of the inverse relationship of arcsec x = y.
1:20 - Differentiating the equation implicitly.
2:10 - Applying the chain rule.
3:00 - Simplifying the differentiated equation using trigonometric relationships.
3:50 - Drawing a triangle to further simplify the equation.
4:20 - Final solution.