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What is a monotonic function? Are all functions monotonic?

What is a monotonic function? Are all functions monotonic?

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Please find the link below

https://www.askiitians.com/iit-jee-applications-of-derivatives/monotonocity/

All functions are not monotonic

Regards
Vikas TU
14149 Points
4 years ago
Dear student 
A monotonic function is a function which is either entirely nonincreasing or nondecreasing. A function is monotonic if its first derivative (which need not be continuous) does not change sign.
Suppose a function is continuous on [a, b] and it is differentiable on (a, b). If the derivative is larger than zero for all x in (a, b), then the function is increasing on [a, b]. If the derivative is less than zero for all x in (a, b), then the function is decreasing on [a, b].

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