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The Power Rule and the Binomial Formula

by Stephen H. Friedberg (Illinois State University)

This article originally appeared in:
College Mathematics Journal
September, 1989

Subject classification(s): Algebra and Number Theory | Algebra | Functions | Calculus | Single Variable Calculus | Differentiation | Discrete Mathematics | Combinatorics | Combinations | Numbers and Computation | Arithmetic | Exponents
Applicable Course(s): 3.2 Mainstream Calculus II | 3.7 Discrete Math | 4.1 Introduction to Proofs | 4.11 Advanced Calc I, II, & Real Analysis

Using the power rule for derivatives to prove the Binomial Theorem (instead of the reverse).

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: General Applications
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