1. Calculus Section 3.6 Use the Chain Rule to differentiate functions
A composite function is formed by the composition of two functions.
Consider: h(x) = x3 and g(x) = 4x + 2, their composition is:
h(g(x)) = (4x+2)3
The Chain Rule is used to find the derivative of a composite function.
Chain Rule If f(x) = h(g(x)), then f’(x) = h’(g(x))∙ g’(x)

2. Use the Chain Rule to differentiate.
f(x) = (4x+2)3
y = (7x2 + 5x – 2)4

3. Find the derivative
f(x) =
y =

4. Find the slope of the function when x = 1.
f(x) =
f(x) = (2x-5)(5x – 6)3/2

5. Find the instantaneous rate of change when x = 2.
y =

6. assignment
Page 151
Problems 2 – 46 even