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Second Derivatives and Beyond

Second Derivatives and Beyond

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Essay Lab | Math Shack | Videos

First Derivative Test Examples

Example 1

Let f (x) = xex. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

Example 2

Let f (x) = x3. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

Example 3

Let f (x) = sin x on the interval 0 ≤ x ≤ 2π. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither

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