Rolles theorem, Mathematics

Assignment Help:

Rolle's Theorem

 Assume f(x) is a function which satisfies all of the following.

1. f(x) is continuous in the closed interval [a,b].

2. f(x) is differentiable in the open interval (a,b).

3. f(a)  = f(b)

So, there is a number c as a < c < b and f′(c) = 0. Or, though f(x) has a critical point in (a,b).

 


Related Discussions:- Rolles theorem

To find out the perimeter of a triangular give formula, To find out the per...

To find out the perimeter of a triangular region, what formula would you use? The perimeter of a triangle is length of surface a plus length of side b plus length of side c.

If oa = ob = 14cm, If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded r...

If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded region.  (Ans:21cm 2 ) Ans:    Area of the shaded region = Area of ? AOB - Area of Semi Circle = 1/2  x 14 x

Graphing formulas, how do you graph y+3=-x+3x on a TI-83 graphing calculato...

how do you graph y+3=-x+3x on a TI-83 graphing calculator?

ALGEBRA, FIND PRODUCT (-41)*(102)

FIND PRODUCT (-41)*(102)

Geometry, how you know that your first quadrilateral is an isosceles trapez...

how you know that your first quadrilateral is an isosceles trapezoid

Brad class collected 320 cans of food how many did required, Brad's class c...

Brad's class collected 320 cans of food. They boxed them in boxes of 40 cans each. How many boxes did they required? To find the number of boxes required, you should divide the

Explain the decimal system in detail, Explain The Decimal System in detail?...

Explain The Decimal System in detail? A decimal, such as 1.23, is made up of two parts: a whole number and a decimal fraction. In 1.23, the whole number is 1 and the decimal fr

Find the area of triangle, Find the area of TRIANGLE ? To find the area...

Find the area of TRIANGLE ? To find the area of a triangle, multiply the base (b) by the height (h), and divide the resulting number in half. In other words, area is. It is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd