

Chain Rule 

THE CHAIN RULE: If and are both differentiable and is the composite function defined by then is differentiable and is given by the product In Leibniz notation, if and are both differentiable functions, then EXAMPLE: Find if DIFFERENTIATION RULES
EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if
EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . EXAMPLE: Find if . 

EXAMPLE: Let (a) Find . (b) Find . (c) Find . COMMON MISTAKES 1. WRONG!!! 2. WRONG!!! 