First & Second Derivative Tests - Partner Activity
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Description
Application of Derivatives - First and Second Derivative Test / Relative Extrema - Partner Activity
This is a collaborative and challenging activity for classifying critical points of a function using the first and second derivative tests. The functions in this activity include polynomials, rational fractions, radicals, exponential and natural logarithmic expressions, trig and inverse trig expressions.
Partners work through 12 sections/problems (functions given). Partner A will use the First Derivative Test to find the local extrema for the given function while Partner B uses the Second Derivative Test to find the local extrema for the same function. Then partners compare their results. In the next section, Partner A will use the Second Derivative Test and Partner B will use the First Test to locate all the relative extrema. Partners compare their answers again.
Detailed typed answer keys are provided.
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Related products:
1) Calculus: Finding Relative Extrema - Digital Sorting Activity (18 problems)
2) Finding Relative Extrema - Digital Matching & Puzzle Assembling Activity
3) First Derivative Test - Practice 3 in 1 (20 problems, detailed typed answer keys)
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