Calculus AB
2­3
(Day 1)
Product and Quotient
Rules
Product Rule ­
If h(x) = f (x) g(x), then
h'(x) = f '(x) g(x) + g'(x) f (x)
Use the product rule to differentiate the function. (pg 124)
1) g(x) = ( x2 + 1 )( x2 ­ 2x )
5) f (x) = x3 cos x
f (x) Quotient Rule ­ If h(x) = , then
g(x)
f '(x) g(x) f (x) g'(x)
h'(x) = 2
, g(x) ≠ 0
g (x)
Use the quotient rule to differentiate the function.
7) f (x) = x
x + 1
2
11) g(x) = sin x
x2
Assignment:
Pg 125
1­11 odd
1