Show that no tangent line to the graph of f(x) = tan x has zero slope. What is the least slope of a tangent line? Justify by sketching the graph of f'(x) = sec² x.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Show that no tangent line to the graph of f(x) = tan x has zero
slope. What is the least slope of a tangent line? Justify by sketching the
graph of f'(x) = sec² x.
Transcribed Image Text:Show that no tangent line to the graph of f(x) = tan x has zero slope. What is the least slope of a tangent line? Justify by sketching the graph of f'(x) = sec² x.
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