Section 3.3 Differentiation Rules

Text for Section 3.3 Differentiation Rules

Learning Objectives

• State the constant, constant multiple, and power rules.
• Apply the sum and difference rules to combine derivatives.
• Use the product rule for finding the derivative of a product of functions.
• Use the quotient rule for finding the derivative of a quotient of functions.
• Extend the power rule to functions with negative exponents.
• Combine the differentiation rules to find the derivative of a polynomial or rational function.

• Derivatives of combinations of functions
• Product rule
• Proof of the product rule (optional)
• Quotient rule