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8769

Successive Derivatives of a Polynomial

This shows the graphs of a cubic polynomial and its first, second, and third derivatives. Only the top slider affects the third derivative, and the bottom slider doesn't affect the second derivative. Can you explain why?

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"Successive Derivatives of a Polynomial" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SuccessiveDerivativesOfAPolynomial/
Contributed by: Joe Bolte
Original version by: Stephen Wolfram
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