3.4: Concavity and the Second Derivative Test

Oct 22, 2019

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3.4: Concavity and the Second Derivative Test. Objectives. Apply the Second Derivative Test to find relative extrema of a function. 2 nd Derivative Test. Find all the critical points, c If f ''(c) > 0, f(c) is a relative minimum. If f ''(c) < 0, f(c) is a relative maximum.

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3.4: Concavity and the Second Derivative Test

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3.4: Concavity and the Second Derivative Test
Objectives • Apply the Second Derivative Test to find relative extrema of a function.
2nd Derivative Test Find all the critical points, c • If f ''(c) > 0, f(c) is a relative minimum. • If f ''(c) < 0, f(c) is a relative maximum. • If f ''(c) = 0, the test is inconclusive. (Use the 1st derivative test.)