1. The Derivative of an Inverse Function

2. Remember…
If a function f has an inverse function f -1, Then f (a) = b implies that f -1(b) = a.

3. Property of Inverse Functions:

4. The Derivative of f -1(x) = g(x):OR

5. Ex 1)
Given that
y = f(x) = x3 + 2x – 3 is a one-to–one function, and thus has an inverse,
find (f -1)'(0).

6. Ex 2)
Find , if:
&

7. Ex 3) Let g be the function which converts from Fahrenheit to Celsius.
Then g (F) = C = (5/9) (F – 32)
Find g -1:

8. Ex 4)
Find , if:
, ,
&