1. Used for composite functions (a function within a function)…
The Chain Rule
Used for composite functions (a function within a function)…
ex:
(outside function)
(inside function)

2. Tack on the derivative of the inside function…
Work from outside-in…
Tack on the derivative of the inside function…
Outside function:
ex:
Inside function:
Tack on inside derivative…

3. Power Rule combined w/Chain Rule:
ex:
Outside Function: ( )2
Inside Function: sinx
Tack on inside derivative…
Power Rule combined w/Chain Rule: OR
Tack on inside derivative…

4. ex:
Tack on inside derivative…
ex:
Tack on inside derivative…

5. ex:
Power / Chain / Quotient

6. ----> Product first, then Chain…
ex:
----> Product first, then Chain…
Deriv. of the first
…plus first
…times the 2nd
…times derivative of the 2nd
ex:
Tack on inside derivative…
Inside Function
Tack on inside derivative…

7. For exponential functions with base ‘a’ (bases other than e…)
IC pg 234
#’s 1-11 all, 16, 17, 19, 22, 31, 35