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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