Bell Ringer- Go over Quiz 3
- All tests need to be remediated by Friday!
Find the slope of the tangent line at x = 2. Prove using two different methods. f(x) = (x - 2)2 0 1 -1 does not exist none of the above
Find the slope of the tangent line at x = 2. Prove using two different methods. f(x) = |x - 2| 0 1 -1 does not exist none of the above
Find the derivative at x = 0. Prove using two different methods. f(x) = x1/3 0 -1 1 ∞ none of the above
Find the derivative of the following function: f(x) = x3 / 4 - 3x dy/dx = 3x2 / 4 dy/dx = (3x2 / 4) - 3 dy/dx = (3x / 4) - 3 dy/dx = 3x2 - 3 none of the above
At what points does the following function have a horizontal tangent line: y = sin x - x, 0 ≤ x ≤ 2π 0 π 2π all of the above - none of the above
Review
- Secant vs. Tangent Line
- Definition of Derivative
- Importance of Derivative
- What does it allow us to do?
- Drawing a Tangent Line on a Graph
- Basic Differentiation Rules
- Constant Rule
- Power Rule
- Sum and Difference Rule
- Sine and Cosine Derivatives
Lesson
- Derivative Notation
- Differentiation
- Rates of Change
- Position Function
- Average Velocity
- Instantaneous Velocity
- Free Fall Problems
- Practice (Section 2.2)
- Checkpoint #1
- Checkpoint #2
- Checkpoint #3
- Checkpoint #4
- Checkpoint #5
Exit Ticket
- Exit TIcket will be posted on the board in class.
| Lesson Objective(s)- How can derivatives be used to find rates of change?
Standard(s) - APC.5
APC.6 APC.7 APC.8 APC.9
Mathematical Practice(s) - #1 - Make sense of problems and persevere in solving them
- #2 - Reason abstractly and quantitatively
- #3 - Construct viable arguments and critique the reasoning of others
- #4 - Model with mathematics
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