With today's technology and powerful computers, it is often tempting to think that the curve sketching process is not needed anymore. However, basing conclusions on a sketch from a computer screen can be risky. That is the case, for instance, with the function f(x)=x* –408x³ +3600x² . Graphing f properly on the screen, in a way that shows its extreme and inflection points is quite difficult. (a) Calculate f' and find the x-values of its local extreme points. (b) Calculate f" and find the x-values of its points of inflection (round your answer to two decimals). (c) Draw a sketch of the graph of f , that clearly shows extreme and inflection points. Make sure to do everything as instructed above. Show and explain ALL your work

With today's technology and powerful computers, it is often tempting to think that the curve sketching process is not needed anymore. However, basing conclusions on a sketch from a computer screen can be risky. That is the case, for instance, with the function f(x)=x* –408x³ +3600x² . Graphing f properly on the screen, in a way that shows its extreme and inflection points is quite difficult. (a) Calculate f' and find the x-values of its local extreme points. (b) Calculate f" and find the x-values of its points of inflection (round your answer to two decimals). (c) Draw a sketch of the graph of f , that clearly shows extreme and inflection points. Make sure to do everything as instructed above. Show and explain ALL your work

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...

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