Find the point of inflection and discuss the concavity of the graph of the function. Fx) = sin [0, 8m]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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identify if its upward or downward on step 1 then answer the given problem. Please give the most complete solution that you can provide


Tutorial Exercise
Find the point of inflection and discuss the concavity of the graph of the function.
F) = sin [o, 8r]
Step 1
Let f be a function whose second derivative exists on a closed open interval I. If f"(x) >0 for all x in I, then
the graph of f is concave -Select--V on I. And if f"(x) <o for all x in I, then the graph of fis concave
-Select-- V on I. If a tangent line exists at a point where concavity changes, this point is called a point of
inflection.
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Transcribed Image Text:Tutorial Exercise Find the point of inflection and discuss the concavity of the graph of the function. F) = sin [o, 8r] Step 1 Let f be a function whose second derivative exists on a closed open interval I. If f"(x) >0 for all x in I, then the graph of f is concave -Select--V on I. And if f"(x) <o for all x in I, then the graph of fis concave -Select-- V on I. If a tangent line exists at a point where concavity changes, this point is called a point of inflection. Submit Skip (you cannot come back)
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