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What is condition fr mon.inc

What is condition fr mon.inc

Grade:12th Pass

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Aprajita,

 

If a function has to be monotnically increasing, then for every x1, x2 belonging to the domain of f(x)....

 

say if x1<x2, then f(x1) must be less than f(x2).

ie for every x1<x2 in the domain f(x1)<f(x2)...

 

In case if, f(x) is continuously differentiable, then f'(x)>0, in its entire domain.

 

Those are the conditions.

 

Best Regards,

Ashwin (IIT Madras).

Godfrey Classic Prince
633 Points
9 years ago

Dear Aprajita Kumari,

In calculus, a function f defined on a subset of the real numbers with real values is called monotonic (also monotonically increasingincreasing or non-decreasing), if for all x and y such that x ≤ y one has f(x) ≤ f(y), so f preserves the order.

 

A monotonically increasing function (it is strictly increasing on the left and right while just non-decreasing in the middle.)

 

All the Very best & Good Luck to you ...

Hope this information helped you immensely...

Regards,

AskIITians Expert,

Godfrey Classic Prince

IIT-M

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