Activity Overview
This activity, which acts as a learning review, is a solution of the questions 3 & 4 of the MM CAS 2003 Exam 2. Students use the Derive software to solve problems.
Before the Activity
See the attached PDF / DFW file for solutions to the questions and print the file for the class
During the Activity
Distribute the pages to the class.
In this activity, students will:
Define a function and find its derivative
Equate the derivative to zero and find the x-coordinates of the stationary points
Substitute the values to get the y-coordinates
Write the equation of the tangent, and determine the slope
Solve the equation
Define the function and determine when the concentration will be greatest
Find the times for a given concentration, and subtract them
Determine the coordinate of the local maximum
Plot the inverse of the function, and solve for the parametric variable
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary