Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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At what point does the curve have maximum curvature? What happens to the curvature as x → ∞?
y = ln x
y= ex
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Step 1: Basic information
VIEWStep 2, finding k(x) and k'(x)
VIEWStep 3, k'(x) = 0
VIEWStep 4, Value of x, where k(x) is maximum.
VIEWStep 5: curvature of ln(x) when x approaches infinity.
VIEWStep 6: k(x) for f(x) = exp(x) ,
VIEWStep 7: k'(x)
VIEWStep 8: Value of x, where exp(x) curvature is maximum
VIEWStep 9: Curvature of exp(x) as x approaches infinity.
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