1. 3.8 Derivatives of Inverse Functions Wed Oct 5
Do Now
Find the inverse of each function
1) Y = 3x - 5
2) Y = x^4 + 10

2. HW Review: p.175

3. Derivative of the Inverse
Assume f(x) is differentiable and
And if f’(g(x)) is not 0 then

4. Inverse Derivatives
We can use the previous theorem to find the derivative of an inverse
We can also find the inverse first and differentiate directly

5. Ex 2
Calculate g’(1) where g(x) is the inverse of f(x) = x + e^x

6. Inverse Trig Derivatives
One of these six might appear on the AP exam:

7. Closure
Calculate where x = 0
HW: p.181 #