Our objective here is to derive derivative rules for the various inverse trig functions. Before we begin that process, let's review some strange properties involving the composition of trig functions with their inverses. Duration: 13:27

In the process of composing arcsine with sine, the graph displayed something truly bizarre. If you were unable to make sense of it, let's see if we can shed some light on the problem. Duration: 8:43

Sure, usually you compose a trig function with it's inverse, but what happens when you try composing it with something completely different? Perhaps something algebraic? I'm wondering what all of this has to do with derivatives... Duration: 8:11

Let's work through two examples involving the composition of a trig function with an inverse function. But not its inverse. That would be too obvious. Duration: 3:12

Finally, I do believe that we are ready to find the derivative of our first inverse trig function. Namely, we will find the derivative of y = arcsin x using implicit differentiation. Duration: 8:37

After reviewing the derivative of arccosine, we'll find the derivative of arctangent, then summarize the derivative rules for all six inverse trig functions. Duration: 9:26

On Example 4, let's put our brand new derivative rules into practice. Duration: 6:15

One more example involving inverse tangent and the Chain Rule. Duration: 2:01