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

Define regression, Define regression. The main reason of curve fitting ...

Define regression. The main reason of curve fitting is to estimate one of the variables (the dependent variable) from the other (the independent variable). The procedure of est

Find the common difference of an ap, Find the common difference of an AP wh...

Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans:    a = 100 APQ a 1 + a 2 + ....... a 6

Problem, a mixture of 40 liters of milk and water contains 10% water.how mu...

a mixture of 40 liters of milk and water contains 10% water.how much water should be added to this so that water my be 20% in the new mixture

Show that the ratio of the volume of the sphere, A sphere and a cube have e...

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans:    S.A. of sphere = S.A of cube    4π r 2

Explain how to converting percents to decimals , Explain how to Converting ...

Explain how to Converting Percents to Decimals ? Percent : "Percent" means "per hundred." Percents are represented by a percent sign ( % ) to the right of a number.  For exam

Equation of line which perpendicular to the given line, Perpendicular to th...

Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,

Explain polynomials, P OLYNOMIALS : It is  not  once  nor  twice  b...

P OLYNOMIALS : It is  not  once  nor  twice  but  times  without  number  that the  same ideas make  their  appearance in the  world. 1.  Find the value for K for which

Fraction, how do you add fraction

how do you add fraction

Integers, need answer to integers that equal 36

need answer to integers that equal 36

Probability - Compound Events, David wants to rent a movie. He wants to wat...

David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a

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