Chapter 2.8
Product rule
What You'll Learn
Apply the Product Rule to differentiate functions that are products of two or more functions
Use the DOOD memory trick (D-O-O-D) to remember the Product Rule formula
Combine the Product Rule with the Chain Rule when differentiating composite functions
Differentiate products involving polynomials, trigonometric functions, and power functions
Identify when Chain Rule is required based on the complexity of inner functions
What You'll Practice
1
Differentiating products of polynomials and trigonometric functions
2
Applying Product Rule with simple functions (no Chain Rule needed)
3
Combining Product Rule and Chain Rule for complex composite functions
4
Simplifying derivatives by bringing constants to the front
Why This Matters
The Product Rule is essential for calculus and appears constantly in physics, engineering, and economics when analyzing rates of change involving multiple varying quantities. Mastering this rule with the DOOD technique makes complex differentiation problems manageable throughout calculus.
This Unit Includes
1 Video lesson
Practice exercises
Skills
Product Rule
Differentiation
Chain Rule
Trigonometric Functions
Power Rule
Composite Functions
Calculus
