*HELP* Finding x in [_,_] of Possible Inflection Points

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Homework Help Overview

The discussion revolves around finding possible inflection points of the function f(x) = e^sin(x) by analyzing its second derivative, f''(x). Participants are tasked with determining the x-coordinates of these points within the interval [0, 2π].

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss factoring the second derivative and setting it to zero. There are attempts to clarify the implications of the hint regarding the function g(t) = e^t, which is never zero. Questions arise about the meaning of "possible inflection points" and how to find all relevant x-values in the specified interval.

Discussion Status

The conversation is ongoing, with participants exploring different methods to solve the equation cos^2(x) - sin(x) = 0. Some guidance has been provided regarding the quadratic form of the equation in terms of sin(x), and there is recognition of the need to find two solutions within the interval [0, 2π].

Contextual Notes

Participants express confusion about the problem's requirements and the implications of the solutions found so far. There is a focus on ensuring that all solutions are within the specified interval and that the values are expressed in radians.

  • #31
NoMoreExams said:
Well try plugging that into your calculator :)

Yay:!)
 
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  • #32
There you go champ :)
 
  • #33
thanks (still didnt tell me your name) :) now i just have to finish the rest of the assignment lol
 
  • #34
The beauty of the anonymity of the Internetz ;-)
 
  • #35
NoMoreExams said:
The beauty of the anonymity of the Internetz ;-)

haha okay Genius, thanks for the helpo:)
 
  • #36
Genius - far, far, far from it but you are welcome.
 
  • #38
Well why don't you do what Halls suggested?
 
  • #39
they cross twice in the first quadrant
that is y=cosx crosses y=x first and then it crosses y=1/5x
you know my main problem is that i can never understand what the question is actually asking for :(
 

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