3.8 Derivatives of Inverse Functions

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…

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?

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.

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

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