3A

Understanding the Concept of a Derivative

• Sketch a derivative graph
• Estimate derivative values from a graph
• Estimate derivative values from a table
• Understand instantaneous rates of change
• Use both forms of the definition
• Explain points of non-differentiability

3B

Finding Basic Derivatives

• Algebraic (Power rule)
• Trig, Inverse Trig
• Logarithmic, Exponential
  

3C

Understanding Derivatives of Combined Functions

• Use the product rule
• Use the quotient rule
• Use the chain rule

3D

Applying Techniques to Find Derivatives

• Combine rules to find derivatives
• Use logarithmic differentiation
• Implicitly find derivatives

3E

Interpreting Derivatives

• Explain the meaning of a derivative in context
• Use derivatives to describe particle motion
• Explain the meaning of a derivative in context.  (Motion, business, etc.)
• Find the speed of a particle given a vector valued function.*