Lesson 1: 3.1 Derivatives of Polynomials and Exponential Functions
Duration of Days: 3
Lesson Objective
Students will be able to derive formulas for derivatives of constant functions, power functions, and exponential functions, and they will apply those formulas to problems with those types of functions.
1. What is the derivative of a constant function?
2. What is the derivative of a power function?
3. What is the derivative of an exponential function?
4. How can we apply Pascal's Triangle to derive the Power Rule?
- Power Rule
- Constant Multiple Rule
- Sum Rule
- Difference Rule
- the number e
(Derivative Rules)
Derivative Rules:
DOK levels 1-4
meaning of derivative as slope, rate of change, as velocity, etc.
- applying Power Rule when the power is negative or fractional can often be confusing
Homogeneous grouping and whole-class discussion
section assessment
Problems assigned from book