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A Self-Contained Derivation of the Formula \( \frac {d x^r}{dx}=r x^{r-1}\)

Differentiating a power of \(x\) when the power is rational.
Old Node ID: 
802
MSC Codes: 
Author(s): 
Peter A. Lindstrom (North Lake College)
Publication Date: 
Wednesday, September 21, 2005
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
March, 1985
Subject(s): 
Single Variable Calculus
Calculus
Topic(s): 
Differentiation: Calculation Rules
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
18.00
Rating Sum: 
51.00
Rating Average: 
2.83
Author (old format): 
Peter A. Lindstrom
Applicable Course(s): 
3.1 Mainstream Calculus I
Modify Date: 
Wednesday, August 15, 2012
Average: 2.9 (18 votes)

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