badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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
Grade: 12

                        

what is mean value therom

6 years ago

Answers : (3)

Indu
47 Points
							if a function f is continuous on the closed interval [a, b], where a < b, and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that
 f`(c) =f(b)-f(a)/b-a.
						
6 years ago
Pushkar Aditya
71 Points
							Mean Value Theorem. Let f be a function which is differentiable   on the closed interval [a, b]. Then there exists a            
point c in (a, b) such that

Corollary.
Let f be a differentiable function such that the derivative f ` is positive
on the closed interval [a, b]. Then f is increasing on [a, b].

Let f be a differentiable function such that the derivative f ` is negative
on the closed interval [a, b]. Then f is decreasing on [a, b].


Discussion   
[Using Flash]


First Derivative Test. Suppose that c is a critical point of
the function f and suppose that there is an interval (a, b) containing c.

If f `(x) > 0 for all x in (a, c) and f `(x) < 0 for all x in (c, b), then c is a local maximum of f.

If f `(x) < 0 for all x in (a, c) and f `(x) > 0 for all x in (c, b), then c is a local minimum of f.
						
6 years ago
raju
59 Points
							Mean Value Theorem. Let f be a function which is differentiable   on the closed interval [a, b]. Then there exists a            
point c in (a, b) such that





Corollary.
Let f be a differentiable function such that the derivative f ` is positive
on the closed interval [a, b]. Then f is increasing on [a, b].

Let f be a differentiable function such that the derivative f ` is negative
on the closed interval [a, b]. Then f is decreasing on [a, b].


Discussion   
[Using Flash]


First Derivative Test. Suppose that c is a critical point of
the function f and suppose that there is an interval (a, b) containing c.

If f `(x) > 0 for all x in (a, c) and f `(x) < 0 for all x in (c, b), then c is a local maximum of f.

If f `(x) < 0 for all x in (a, c) and f `(x) > 0 for all x in (c, b), then c is a local minimum of f.
						
6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

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