1. 3.8 Derivatives of Inverse Functions

2. But recall that has a range of…
implies that…
But recall that has a range of…
Look this up if you don’t remember…
over the domain
Really, look this up if you don’t remember…

3. sin y = x Use implicit differentiation to find: in terms of x only
And since we know that
sin y = x
But
so is positive.
Remember? Trig?

4. sec d x dx We could use the same technique to find and .1
sec d x dx -
Try a few angles to confirm this.

5. sec d x dx We could use the same technique to find and .1
sec d x dx -
This is how the book expresses them, the difference here being…
The Chain Rule

6. p Your calculator contains all six inverse trig functions.
However it is occasionally still useful to know the following: p