Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
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).
Dear Aprajita Kumari,
In calculus, a function f defined on a subset of the real numbers with real values is called monotonic (also monotonically increasing, increasing 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
Please approve my answer if you liked it by clicking on "Yes" given below....!!!
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !