Derivative as a Function
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As a pointwise limit, the derivative gives the slope of the tangent to the curve. Varying the point and plotting the tangent slope as a function of 
yields a new curve, the derivative as a function. It is possible to guess at a formula for the derivative from this curve.
Contributed by: Jim Brandt (March 2011)
Open content licensed under CC BY-NC-SA
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"Derivative as a Function"
http://demonstrations.wolfram.com/DerivativeAsAFunction/
Wolfram Demonstrations Project
Published: March 7 2011
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