AP: Reviewed packet on differentiability. If a function is differentiable, then it must also be continuous. However, a continuous function is not necessarily differentiable. A function f(x) is considered differentiable if its derivative f'(x) is continuous for every point in a specified interval. If the derivative is not continuous, then the original function f(x) is not differentiable. Began implicit differentiation, to be continued next class.
Homework: AP free response problem due tomorrow
Honors: Went over tangent line equations worksheet. Learned product rule. Notes here
Tuesday
AP: Went over the homework, the AP free response problem. Continued implicit differentiation, a challenging topic. Worked through 2000AB5, a free response problem involving this topic. Notes
Homework: p. 142: 1-15, 29-34 (due Friday) (will discuss some on Thurs)
Wednesday
AP: No DS (substitute teacher today)
Honors: Using the product and quotient rules. Videos shown by substitute teacher.
Note homework modification: p. 124: #1-18 (due Friday)
Thursday
AP: Worked on implicit differentiation problems in class. Homework set due tomorrow. Passed out practice test for derivatives, due Tuesday.
Friday
AP: No DS because of NHS meeting.
Honors: Some re-teach on product and quotient rule. Explored relationship between a function and its derivative graphically through web applets. Homework that was assigned Wednesday extended to Monday.