1. The Chain Rule
Section 4 Notes

2. The Chain Rule
If where u is a differentiable function of x and n is a rational number, then

3. Ex 1: Using the Chain Rule
Find the Derivatives:
f(x) = (3x – 2x²)³
f(x) =

4. g(t) =
f(x) = sin³x

5. HOMEWORK
Pg 133 #7-23 odds

6. II. The Chain Rule for Trig Functions
If u is a differentiable function, then
Remember – the Chain Rule is the derivative of the outside times the derivative of the inside.

7. Ex 2: Find the Derivative
y = sin 2x
y = cos(x – 1)
y = 3x tan(4x)

8. Ex 3: Repeated use of the Chain Rule
Find the derivative of y = sin³4t.

9. HOMEWORK
Pg 134 #47-66 odds, 92

10. III. Simplifying Derivatives
Ex. 1- Factor Out the Least Power
Find the derivative of

11. Ex 2: Simplifying the Derivative of a Quotient
Find f’(x) if

12. Ex 3: Simplifying the Derivative of a Power
Find f’(x) if

13. HOMEWORK
Pg 133 #7-34 evens