MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
viswateja thummala Grade: 11
        

the function cosh(cosx) decreases in the interval?


give procedure to solve these type of problems


 

6 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Just expand it...


Theorem on Increasing and Decreasing of Functions:


Let f be continuous on [a, b] and differentiable on the open interval (a, b). Then


(a) f is increasing on [a, b] if f '(x) > 0 for each x (a, b)


(b) f is decreasing on [a, b] if f '(x) < 0 for each x (a, b)


This theorem can be proved by using Mean Value Theorem. We shall prove the theorem after learning Mean Value Theorem.


This theorem is applied in various problems to check whether a function is increasing or decreasing.


Increasing and Decreasing Function Working Rule


(1) Let the given function be f (x) on the real number line R.


(2) Differentiate the function f(x) with respect to x and equate it to zero i.e., put f '(x) = 0. Solve for x. These values of x which satisfy f '(x) = 0 are called Critical values of the function


(3) Arrange these Critical values in ascending order and partition the domain of f (x) into various intervals, using the Critical values.


(4) Check the sign of f '(x) in each open intervals.


(5) If f '(x) > 0 in a particular interval, then the function is increasing in that particular interval.


If f '(x) < 0 in a particular interval, then the function is decreasing in that particular interval.


 































Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.


All the best.


Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.


Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


 


Askiitians Expert


Sagar Singh


B.Tech, IIT Delhi






























6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details
Get extra Rs. 3,180 off
USE CODE: CART20
Get extra Rs. 339 off
USE CODE: CART20

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details