Influencing policy (training slides from Fast Track Impact)
Curve Sketching Using the Second Derivative Test
1. MCV4U Curve Sketching Day 2
Consider the graph of the function f(x) below:
3x^3 18x^2 72x + 192
Question 1: Sketch the first and second derivative of this function on the same set of axes as the original function f (x).
Question 3: Using the definition of f (x) above, verify your conclusions from the previous questions.
Question 4: Why do you think that today's lesson could be titled quot;The Second Derivative Testquot;?
Practice Questions Page 350 # 7a, 7c, 8 and 9
You are to use the 2nd derivative test to classify each of the critical points that you find.
For # 8, create a sketch of f (x) using the first derivative f '(x) only as your guide.
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