No school Monday for MLK day. Worked through some more examples on the reverse chain rule, including one that results in a natural logarithmic answer in DS. Did some more reverse chain rule problems in class and introduced the concept of u-substitution, a method that can allow you to find antiderivatives when the reverse chain rule requirements fail to hold. Then played Kahoot practicing these skills.
Notes from board (includes several additional examples)
Homework
p. 301 #15-26, 47-50
Resources
Reverse chain rule example (made by me for you :)) link
U-Substitution example (made by me for you :)) link
U-sub vs Reverse chain rule: demonstration how u-sub can give same answer: (made by me!) Link
Two challenging warm up problems dealt with applying the reverse chain rule by recognizing both trigonometric derivatives and natural log derivatives. Practiced seeing f-prime's graph as a way to determine f behavior (so, basically graphing the antiderivative function) through applets 15 and 20 here. Also signed up for getafive.com using our devices (instructions and course code in notes linked below). Quickly went through an example on how to find C, by using a given point (in our example, the velocity at a particular time and then the position at a particular time) and solving for C.
Notes from board
Homework
24 problems of your choice from this worksheet (12 on each side) [Due Wednesday]