Post date: May 2, 2016 2:49:28 PM
Welcome back from break! In this last part of the school year, we will continue and finish our study of derivatives. First, we'll see how we can use derivatives to understand the shape and behavior of functions.
Monday, 5/2 - we saw how when the derivative equals zero, we have points on the function that are minima, maxima, or horizontal points of inflection. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #2, 5, 6, 9, 11.
Tuesday, 5/3 - we used the first derivative test to classify stationary points and looked at the difference between local and global extrema. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #8, 9, 10, 13.
Wednesday, 5/4 - we used the second derivative and classified the concavity of a function. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #16.
Thursday, 5/5 - we continued to practice curve sketching and identifying max, min, inflection points, as well as intervals of increasing, decreasing, concave up, and concave down. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #18, 23, 26-28.
Friday, 5/6 - we practiced curve sketching. Here are the slides from class. Your HW is this worksheet, Exercise 18.F.2 #1-2.
Monday, 5/9 - we continued practicing curve sketching. Here are the slides from class. You have a quiz tomorrow.
Tuesday, 5/10 - we have a quiz on function behavior. On this quiz is the topic of curve sketching, which pulls together our knowledge of first derivatives (stationary points [max, min, horizontal inflection points], increasing, decreasing), second derivatives (inflection points [horizontal and non-horizontal inflection points], concave up, and concave down). You should be able to sketch curves (of original functions, of derivatives, of second derivatives) when given an equation, when given sign diagrams, and when given graphs (each, of the original function, of the derivative, and of the second derivative).