Find the derivative of the following. Note: Some of these are problems you have not seen yet. Hint: Try to get y by itself on one side of the equation (if you can).
x y 1 0 none of the above
2 0 none of the above
none of the above
none of the above
- impossible to solve
Review - Pre-calculus
- Slope
- Equation of a Line
- Secant Line vs. Tangent Line (video)
- Derivative
- How can the slope of a tangent line be found?
- Equation of a Tangent Line (video)
- Derivative (video) (checkpoints)
- Basic Differentiation Rules (checkpoints)
- Product Rule (video) and Quotient Rule (video) (checkpoints)
- How can derivatives of the product/quotient of functions be calculated?
- Chain Rule (video) (checkpoints)
- How can derivatives of composite functions be found?
Lesson - Challenge 6
- Find the derivative of the following:
- Hints will be given as needed.
- No computers allowed!
- Implicit Differentiation (video)
Exit Ticket
- Posted on the board at the end of the block.
Homework
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Standard(s)
- APC.2
- Define and apply the properties of limits of functions.
- Limits will be evaluated graphically and algebraically.
- Includes:
- limits of a constant
- limits of a sum, product, and quotient
- one-sided limits
- limits at infinity, infinite limits, and non-existent limits
- APC.3
- Use limits to define continuity and determine where a function is continuous or discontinuous.
- Includes:
- continuity in terms of limits
- continuity at a point and over a closed interval
- application of the Intermediate Value Theorem and the Extreme Value Theorem
- geometric understanding and interpretation of continuity and discontinuity
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