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  Precalculus
 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

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
 onesided limits
 limits at infinity, infinite limits, and nonexistent 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
