(c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and minimum point(s) using the second derivative test. 1 mini MATION iii) Deduce the point of inflection. he point Exun iv) From the point(s) obtained in (ii) and (iii), sketch the graph of f(x). CALC bring thesecond d f(x)=2x³+3x²-36x-5.

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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(c)
Given a cubic function
f(x) = 2x³ +3x² -36x-5.
¹1-ENTIA
i) Find the critical point(s).
ii) Hence, determine the maximum and minimum point(s) using the second derivative
test.
d minin MATION
iii) Deduce the point of inflection.
he point of im
iv) From the point(s) obtained in (ii) and (iii), sketch the graph of ƒ(x).
ALCing the second d
Transcribed Image Text:(c) Given a cubic function f(x) = 2x³ +3x² -36x-5. ¹1-ENTIA i) Find the critical point(s). ii) Hence, determine the maximum and minimum point(s) using the second derivative test. d minin MATION iii) Deduce the point of inflection. he point of im iv) From the point(s) obtained in (ii) and (iii), sketch the graph of ƒ(x). ALCing the second d
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