Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Warm Up Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Plug in values between critical values into the factored form of f’ to determine behavior of f Differentiate Set f’ =0 factor Set Factors = 0 Solve to find Critical value(s) (candidates for extrema) If your sign chart is labeled, you do not need to restate your answer. Dec Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. factor Inc Dec Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. Inc Dec Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. Outside Domain Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. Find Candidates for extrema (CV) Vertical Asymptote at x=2 Inc Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. Find the critical numbers of f (if any). Find the open intervals on which f(x) is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. Inc Inc Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 3.3 Increasing and Decreasing Functions and the first derivative test 4.3 Students understand the relation between differentiability and continuity. 9.0 Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and intervals in which the function is increasing and decreasing. BC Practice: online Wednesday, October 8, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals