Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
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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