Went over motion hw answers (posted in notes below). Learned about l'Hopital's rule (here is a 'proof'), a way to do limit problems that initially give you an indeterminate answer (most commonly 0/0). Take the derivative of the numerator and denominator independently, then retry the limit with direct sub. Repeat as needed! Gave out practice assessment, small groups will teach the class assigned individual skills (see notes below for your group/task).
Notes from board
Homework
start on the practice assessment, focusing on your section (blank copy)
see videos below for help
solutions to be posted Tuesday afternoon
Resources
see tuesday below
Discussed interpreting derivatives in context, including looking at some real world news examples. Then started going over the practice test in small groups.
Notes from board
Homework
do the practice assessment (blank copy) (SOLUTIONS)
see videos below for help
Resources
finding acceleration at a time given position function, using trig and chain rule (like #1): link
find when a moving object is at rest (like #2) link
how to read a velocity graph (like #3) link
interpreting the derivative (like 4 and 5) link1 link2 link3 link4
writing the equation of a tangent line #6): link
writing equation of tangent line, given the slope (#7): link
showing differentiability (like #8) link
finding values to make a function differentiable (like #9): link
tangent line approximations (like #10 and 11) link link 2
concept behind horizontal and vertical tangents, (helps with #12 and 13) link
basic introduction to L'Hopital's Rule: link
some examples of l'Hopital's Rule link
more good l'Hopital's Rule examples, including when not to use: link
simple chain rule examples: link
more chain rule examples: link