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Massaschusetts Mathematics Standard:
PC.P.1 Use mathematical induction to prove theorems and verify summation formulas -
Massachusetts State Standard for Mathematics: PC.P.9 Relate the slope of a tangent line at a specific point on a curve to the instantaneous rate of change. Explain the significance of a horizontal tangent line. Apply these concepts to the solution of problems.
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L'Hôpital gives the opinion that while Newton published his calculus first, the notation offered by Leibniz is superior to that of the English mathematician.
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Newton himself writes the final decision for the academic jury.