The First and Second Derivative Tests. Today you will connect concavity with the sign of the second derivative. Silent Board Game. Do NOT Talk!!!!
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Today you will connect concavity with the sign of the second derivative.
Do NOT Talk!!!!
Each of you will label a characteristic on the sketch I am about to draw, one at a time, without talking. It is your job to label the curve as completely as possible. You may use descriptive words, symbolic notation, etc. Each person may only add ONE label to the curve.
How does the increasing or decreasing nature of a curve relate to the first derivative? The second derivative?
How does the concavity of the curve relate to the second derivative? The first derivative?
f. Does the direction you walk affect the concavity of the curve?
A point of inflection is a point where concavity changes. Since the point of inflection deals with concavity, it must be related to the second derivative.
Complete the Exit Slip with your partner on the sheet provided.