Mini lesson in DS was on defining differentiability at a point (the function must be continuous at that point AND there must a **unique** tangent line with a **defined** slope.) Looked at 3 different types of non-differentiable points algebrically and graphically (cusps, corners, and vertical tangents). Established that a function is differentiable only where it and its derivative are both continuous. Class time was allocated for retakes.
Notes from board
Homework
due 10/18 (Weds after fall break)
p. 105 #65-68 (don't use power rule, use alt. form of derivative), #85-89
p. 125 #3-33 (multiples of 3), 63-66, 81, 82
feel free to utilize calcchat.com to help
Resources
using alt. form of derivative to find derivative at point (#65-68) link starts at 14:20
determining if a function is differentiable at a point (#85-89): link (you can use power rule)
write the equation of a tangent line (#63-66) link (made by me:))
product and quotient rule from graphs (#81-82): link