2. Use Fermat's Method of Adequality to find subtangent of the function f(x) = x³ at the point (2,8). Then use the subtangent, similar triangles, and the Pythagorean Theorem to find the normal and subnormal and the slope of the tangent line at the same point. So, you need to find four things: the subtangent, normal, subnormal, and slope of the tangent line. Do not approximate with decimals.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
2. Use Fermat's Method of Adequality to find subtangent of the function f(x) = x³ at the
point (2,8). Then use the subtangent, similar triangles, and the Pythagorean Theorem to
find the normal and subnormal and the slope of the tangent line at the same point. So,
you need to find four things: the subtangent, normal, subnormal, and slope of the tangent
line. Do not approximate with decimals.
Transcribed Image Text:2. Use Fermat's Method of Adequality to find subtangent of the function f(x) = x³ at the point (2,8). Then use the subtangent, similar triangles, and the Pythagorean Theorem to find the normal and subnormal and the slope of the tangent line at the same point. So, you need to find four things: the subtangent, normal, subnormal, and slope of the tangent line. Do not approximate with decimals.
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