The first questions are concepts questions about the derivative of a function.The second part is a problem with an explanation of how to solve it.The third part is to state what concepts were needed to solve the problem.

Section 2.2 - The Derivative of a Function Concept Questions 1. Define the derivative f'(a). Discuss two ways of interpreting this number. 2. What does it mean for f to be differentiable at a = a? 3. Describe several ways in which a function can fail to be differentiable. Illustrate with sketches. Problem with Explanation Solve the following problem. Include an explanation so that a peer in the class can understand the work. Your explanation should have an emphasis on explaining calculus concepts over algebraic concepts. Reminder: this take-home assessment is due on December 13, 2021. Problem Prompt: Find the derivative of g(t) = 2t + 1 by using the limit definition of the derivative. Connections 1. What are three essential concepts from the previous sections (sections that are before this one) that are needed to understand and use the concepts from this section? Write your answer using complete sentences and include an example for each. 2. What are three essential concepts from the sections afterwards (sections that follow this section) that require the concepts from this section? Write your answer using complete sentences and include an example for each