Sketching a Function from a Sketch of its Derivative

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Sketching a Function from a Sketch of its
Derivative
from Demos with Positive Impact www.mathdemos.org
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We sketch the derivative y' f '(x).
As we plot it we display the y-coordinate of the
plotted points.
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As we generate the curve make a list of the sign
of the y-coordinate. Use for a positive value
- for
a negative value 0 for an x-intercept

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PAUSE this animation to get your pencil and paper
ready. When ready, continue playing the animation.
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Starting to sketch the derivative curve.
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Your list should look like Pluses Zero Minuses
Zero Pluses
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When this animation ends run Animation 2 and
decide which figure is a good approximation to
the graph of y f(x).
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This animation was developed for the project
Demos with Positive Impact www.mathdemos.org by
David R. Hill Temple University 1/1/2007