Warm up involved taking our first 'anti-derivative' by recognizing an instance of the chain rule in reverse involving ln(f(x)). Also found the line tangent to a curve that required the product rule, an exponential derivative, and the chain rule. Discussed some of the homework in small groups. Looked at how to determine derivatives using tables of data rather than being given the functions themselves.
Notes from board
Homework
none new
here are the solutions to "Excitement with Derivatives" if you want: link
Resources
derivative rules using a table: link
Continued with table derivatives during DS. Did logarithmic derivative with the chain rule (including multiple instances) for warm up, then looked at differentiability in more depth for some review. Saw algebraically that a function is non-differentiable where either the function or its derivative are discontinuous. (Alternately, a function is differentiable when both the function and the derivative are continuous). Looked at root functions involving the chain rule and absolute value functions to explore this concept. Then went to the computer lab and explored graphical relationships between f and f-prime of x through matching, creating the derivative, and matching in reverse, along with practicing derivative rules through marble slides.
Notes from board
Homework
Complete the practice assessment, dropping skills for #13 and 14 from this test (blank copy)
[SOLUTIONS] (solution to #15 is here for mobile users)
Real assessment is Friday
Resources made by me!
mixed derivative rules practice: LINK (D-AD2 and 2b)
chain rule examples: link (D-AD4)
product rule and chain rule combined; chain rule from a table LINK (D-AD4)
writing the equation of a tangent line: link