3.8 Derivatives of Inverse FunctionsFri Oct 30

Do Now

Find the inverse of each function

1) Y = 3x - 5

2) Y = x^4 + 10

HW Review: p.175 #1-85

Derivative of the Inverse

• Assume f(x) is differentiable and

• And if f’(g(x)) is not 0 then

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

Ex 2

• Calculate g’(1) where g(x) is the inverse of f(x) = x + e^x

Inverse Trig Derivatives

• One of these six might appear on the AP exam:

Closure

• Calculate where x = 0

• HW: p.181 #1-35 odds

DO NOW

• Find the derivative