# Second Derivative

Matching the graph of a function with the graphs of its 1st and 2nd derivative - Calculus

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Guided inquiry activity - Students use a straightedge and learn to graph the derivative of a function. They draw conclusions about the degree of the function and investigate second derivatives.

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What is point of inflection of a function? Point of inflection of a function is defined as the point where the function changes the concavity, concave up corresponds to a positive second derivative and concave downward corresponds to a negative second derivative therefore at this point when the function changes from concave up to concave downward then the second derivative must be equal to zero at that point.

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Calculus Graphical Organizer (could be modified to use as "when to use statistical techniques or charts")

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This 2 page handout summarizes first and second derivative tests for curve sketching.

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Acceleration, second derivative of the position vector... in unit distance per unti time ever unit of the time.... Overdrive Maximum dictates attrition in every direction. Always GO, in double forward or double reverse... (2/15/13)

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Concavity, Inflection Points and Second Derivatives - good examples of algebraic work involved

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#INTP - maybe not calculus, but doing my taxes does excite me a little too much :)

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