The mean value theorem, Mathematics

Assignment Help:

The Mean Value Theorem : In this section we will discuss the Mean Value Theorem. 

Before we going through the Mean Value Theorem we have to cover the following theorem.

Rolle's Theorem : Assume f ( x ) is a function which satisfies all of the following.

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

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

3. f ( a ) =f (b )

Then there is a number c such that a < c < b and f ′ (c ) = 0 .  Or, in other terms f ( x ) contain a critical point in (a,b).

 


Related Discussions:- The mean value theorem

Radius of rhim, how long is the radius of car tyre?

how long is the radius of car tyre?

Standardizing a random variable, Standardizing a Random Variable       ...

Standardizing a Random Variable       If X is a random variable with E(X) = m and V(X) = s 2 , then Y = (X – m)/ s is a random variable with mean 0 and standard deviatio

Laura paid $17 for jeans what was original price of jeans, Laura paid $17 f...

Laura paid $17 for a pair of jeans. The ticketed price was 20% off the original price plus the sign on the rack said, "Take an additional 15% off the ticketed price." What was the

Unit Rates, I need help on how to do real word problm with unit rates.

I need help on how to do real word problm with unit rates.

What were her sales for the month of may of medical supplies, Kim is a medi...

Kim is a medical supplies salesperson. Each month she receives a 5% commission on all her sales of medical supplies up to $20,000 and 8.5% on her total sales over $20,000. Her tota

Solve the fractional equation, Solve the fractional equation: Example...

Solve the fractional equation: Example: Solve the fractional equation 1/(x-2) +1/(x+3) =0 Solution: The LCD is (x - 2)(x + 3); therefore, multiply both sides of t

Example of word problem, Example of Word problem: There is a man who i...

Example of Word problem: There is a man who is 21 years older than his son.  5 years ago he was four times as old as his son. How older are both now? Solution: Step 1

Trig substitutions - integration techniques, Trig Substitutions - Integrati...

Trig Substitutions - Integration techniques As we have completed in the last couple of sections, now let's start off with a couple of integrals that we should previously be

Systematic sampling, Systematic Sampling Systematic sampling is a part ...

Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet

Statistics, Calculate the Kendaul''s correlation cofficient for a given dat...

Calculate the Kendaul''s correlation cofficient for a given data.

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