0

Guest

Courses New

discuss the application and conclusion of Lagranges mean value theorem on the function f(x)=|x| on interval [-1,1]

discuss the application and conclusion of Lagranges mean value theorem on the function f(x)=|x| on interval [-1,1]

Grade:11

1 Answers

Parvez ali
askIITians Faculty 47 Points
10 years ago

if a functionfiscontinuouson theclosed interval[a,b], wherea<b, and differentiable on theopen interval(a,b), then there exists a pointcin (a,b) such that

f'(c) = \frac{f(b) - f(a)}{b-a} \, .

but f(x)=mod(x) is not differentiable at x=0 so LMV theorem is not applicable in the given interval



Thanks & Regards
Parvez Ali
askIITians Faculty

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More