'Possible inflection point' presentation slideshows

Concavity and the Second Derivative Test

Concavity and the Second Derivative Test. Determine the intervals on which the graphs of functions are concave upward or concave downward. Find the points of inflection of the graphs of functions. Use the Second Derivative Test to find the relative extrema of functions. Standard 4.5a.

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First derivative:

is positive. is negative. is zero. is positive. is negative. is zero. First derivative:. Curve is rising. Curve is falling. Possible local maximum or minimum. Second derivative:. Curve is concave up. Curve is concave down. Possible inflection point (where concavity changes).

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Warm Up

328 views • 12 slides

4.3 Using Derivatives for Curve Sketching

4.3 Using Derivatives for Curve Sketching. Yellowstone Falls, Yellowstone National Park.

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