After completing this section, students should be able to do the following.

• Recognize a composition of functions.
• Take derivatives of compositions of functions using the chain rule.
• Take derivatives that require the use of multiple rules of differentiation.
• Use the chain rule to calculate derivatives from a table of values.
• Understand rate of change when quantities are dependent upon each other.
• Use order of operations in situations requiring multiple rules of differentiation.
• Apply chain rule to relate quantities expressed with different units.
• Compute derivatives of trigonometric functions.
• Use multiple rules of differentiation to calculate derivatives from a table of values.