- #31
AnnaSuxCalc
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NoMoreExams said:
Yay:!)
*HELP* Finding x in [_,_] of Possible Inflection Points
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SUMMARY
The discussion focuses on finding possible inflection points of the function f(x) = esin(x) within the interval [0, 2π]. The second derivative f''(x) is derived as f''(x) = esin(x)(cos2(x) - sin(x)). To find inflection points, the equation cos2(x) - sin(x) = 0 is solved, leading to a quadratic equation in sin(x). The solutions yield two x-values in the specified interval, specifically x = 0.6662 radians and x = 2.476 radians.
PREREQUISITES- Understanding of calculus, specifically second derivatives
- Familiarity with trigonometric identities and equations
- Knowledge of solving quadratic equations
- Proficiency in using inverse trigonometric functions
- Study the properties of the second derivative and its implications for concavity
- Learn about the unit circle and how it relates to trigonometric functions
- Explore the use of numerical methods for solving equations involving trigonometric functions
- Practice finding inflection points for various functions beyond f(x) = esin(x)
Students and educators in calculus, mathematicians analyzing inflection points, and anyone interested in advanced trigonometric applications.
Yay:!)
- #32
NoMoreExams
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There you go champ :)
- #33
AnnaSuxCalc
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thanks (still didnt tell me your name) :) now i just have to finish the rest of the assignment lol
- #34
NoMoreExams
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The beauty of the anonymity of the Internetz ;-)
- #35
AnnaSuxCalc
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NoMoreExams said:
haha okay Genius, thanks for the help
- #36
NoMoreExams
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Genius - far, far, far from it but you are welcome.
- #37
AnnaSuxCalc
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You can help with this too if youd like :D
https://www.physicsforums.com/showthread.php?t=285074
dont feel obligated haha
https://www.physicsforums.com/showthread.php?t=285074
dont feel obligated haha
- #38
NoMoreExams
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Well why don't you do what Halls suggested?
- #39
AnnaSuxCalc
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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 :(
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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