UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > differination of |x| in conditions
✕

Search in

differination of |x| in conditions

Asked by Last Modified  

27 Answers

Learn Class XI-XII Tuition (PUC)

Follow 0
Answer

Please enter your answer

Home Tuitor for Class V to X,Computer,Speaking English,CBSE, ICSE & State Board

Let y = |x| Step 1) Applying first principle ... NOTE:- We shall apply the limit later & now here dx represents delta x. dy/dx = /dx as mentioned we shall apply limit later so currently dy/dx represents Step 2) Multiplying numerator and denominator by we get, /{dx*} Step 3) simplifying...
read more
Let y=|x| Step 1) Applying first principle ... NOTE:- We shall apply the limit later & now here dx represents delta x. dy/dx = [|x+dx| -|x|]/dx as mentioned we shall apply limit later so currently dy/dx represents [delta y/ delta x ] Step 2) Multiplying numerator and denominator by [|x+dx| + |x|] we get, [(x+dx)^2-x^2]/{dx*[|x+dx| +|x|]} Step 3) simplifying [2x*dx+(dx)^2]/{dx*[|x+dx| +|x|]} As we have not yet applied the limit we cancel a common dx term from numerator and denominator. Step 4) What remains is [2x+dx]/[|x+dx| +|x|] Step 5) Now we apply the limit of dx tends to zero Therefore, dy/dx = x/|x| Now for x>0, dy/dx = 1 for x<0, dy/dx = -1 at x=0 the function is not differentiable as dy/dx is not defined. read less
Comments
Dislike Bookmark

Mathematics Professor

Since the absolute value is defined by cases, |x|={x?xif x?0;if x0, x0, for ?x sufficiently close to 0 we will have x+?x>0. So f(x)=|x|=x, and f(x+?x)=|x+?x|=x+?x; plugging that into the limit, we have: lim?x?0f(x+?x)?f(x)?x=lim?x?0|x+?x|?|x|?x=lim?x?0(x+?x)?x?x. You should be able to finish it now. For...
read more
Since the absolute value is defined by cases, |x|={x?xif x?0;if x<0, it makes sense to deal separately with the cases of x>0, x<0, and x=0. For x>0, for ?x sufficiently close to 0 we will have x+?x>0. So f(x)=|x|=x, and f(x+?x)=|x+?x|=x+?x; plugging that into the limit, we have: lim?x?0f(x+?x)?f(x)?x=lim?x?0|x+?x|?|x|?x=lim?x?0(x+?x)?x?x. You should be able to finish it now. For x<0, for ?x sufficiently close to zero we will have x+?x<0; so f(x)=?x and f(x+?x)=?(x+?x). It should again be easy to finish it. The tricky one is x=0. I suggest using one-sided limits. For the limit as ?x?0+, x+?x=?x>0; for ?x?0?, x+?x=?x<0; the (one-sided) limits should now be straightforward. good luck read less
Comments
Dislike Bookmark

IIT/BITSAT Decoded !!

Differentiation of |x| is |x|/x , so for positive & negative x you can easily put x with appropriate sign to get the result.
Comments
Dislike Bookmark

"Decoding the World of Physics and Math: 12 Years of Expertise, Powered by a Teaching Enthusiasts"

when x=0- you will get differentiation -1 and when x=0+ you will get differentiation +1 this function is not differentiable at x=0
Comments
Dislike Bookmark

Tutor

Let y=|x|. Step 1 Applying first principle ... NOTE:- We shall apply the limit later. & Currently dx represents delta x. dy/dx=/dx as mentioned we shall apply limit later so currently dy/dx represents Step 2 multiplying numerator and denominator by we get, /{dx*} Step...
read more
Let y=|x|. Step 1 Applying first principle ... NOTE:- We shall apply the limit later. & Currently dx represents delta x. dy/dx=[|x+dx| -|x|]/dx as mentioned we shall apply limit later so currently dy/dx represents [delta y/ delta x ] Step 2 multiplying numerator and denominator by [|x+dx| + |x|] we get, [(x+dx)^2-x^2]/{dx*[|x+dx| +|x|]} Step 3 simplifying [2x*dx+(dx)^2]/{dx*[|x+dx| +|x|]} as we have not yet applied the limit we can cancel a common dx term from numerator and denominator. Step 4 What remains is [2x+dx]/[|x+dx| +|x|] Step 5 Now we apply the limit of dx tends to zero Therefore, dy/dx=x/|x| Now for x>0, dy/dx=1 for x<0, dy/dx=-1 at x=0 the function is not differentiable as dy/dx is not defined. read less
Comments
Dislike Bookmark

if x>0 it will be 1 and if x<0 then it will be -1 and at x=0 derivative is not defined.
Comments
Dislike Bookmark

i am a tution teacher

In differination ill give signum function 1when X is positive and -1 when it is negative
Comments
Dislike Bookmark

Teaching is my passion!!!!

if x>0 it will be 1 and if x<0 then it will be -1 and at x=0 derivative is not defined
Comments
Dislike Bookmark

Trainer

(d/dx) IxI = IxI/x, which is not continuous.
Comments
Dislike Bookmark

Ms office, tally,Dot net, C C++ Oracle java,B Tech Tutions,Spoken English,Graphic Design, Tutions for class 1 to B Tech,Abacus,Vedic maths,Bank Coaching,Sainik school entrance exams,Photoshop,Corel Draw,

Conditions under which one may differentiate term by term a convergent sequence of functions are to be found in the literature.f Some of these conditions are obtained as corollaries of theorems about term wise integration, and consequently contain in the hypothesis the assumption that the derived...
read more
Conditions under which one may differentiate term by term a convergent sequence of functions are to be found in the literature.f Some of these conditions are obtained as corollaries of theorems about term wise integration, and consequently contain in the hypothesis the assumption that the derived sequence converges. Without this assumption, sufficient conditions for term wise differentiation may be obtained from the fundamental theorem on reversing the order of iterated limits. read less
Comments
Dislike Bookmark

View 25 more Answers

Related Questions

The emf of a source is equal to the potential difference across the terminals of the source when either its internal resistance is __________. (Zero, Infinite, Zero or infinite, None of these)
ZERO
Narendra Kumar
1 0
7
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream. A. 2 hours B. 3 hours C. 4 hours D. 5 hours
Speed downstream = (13 + 4) km/hr = 17 km/hr. Time taken to travel 68 km downstream = 68 hrs = 4 hrs. 17
Srikanth
0 0
8
If u know what is schottky diode and its electrical properties please tell me friend
A semiconductor diode which has a low forward voltage drop and a very fast switching action.This lower voltage drop provides better system efficiency and higher switching speed.
Mr V
1 0
8
A Clock strikes three ( at 3 AM ). And when it does so 3 seconds elapse. How long does it take the clock to strike seven ( at 7 AM )?
Between the three strikes there are 2 intervals, which are each 1.5 seconds long. To strike seven there are 6 intervals. So it will take total 6*1.5 = 9 seconds for seven strikes.
Prosenjit Mondal
0 0
8
What is the matrix?
Row and column wise arrangement of data.
Bhagwat

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class XII Maths chapter 7 Integrals
Integrals is one of the most tough topic in class XII maths. But my methodology is very simple. If a student do problems in the worksheets they wont feel the complexity and can learn and understand things...

Rama D.

0 0
0
If x >= y And y>1 Then The Value Of Eexpression Log Base x( x/y) + Log Base y ( y/x) Can Never Be a) -1, b) - 0.5, c) 0, d) 1
Question: If x >= y and y>1 the the value of expression log base x( x / y) + log base y ( y / x) can never be a) -1 b) -0.5 c) 0 d) 1 Answer: Expression becomes 2-(x+1/x) where x is logx base...

Sujoy Das

0 0
0
Java An Introduction
Java- An introduction Java technology is both a programming language and a platform. The Java Programming Language The Java programming language is a high-level language that can be characterized...

Raghavendra Kumar Pandey

0 0
0
Accounting Practices Needed When Starting a Business
Every small business needs to account by law for the profit or loss that it makes over time. Not only is this valuable information for the business owner, but such accounting is required in order for the...

G. Hariharasubramonian

0 0
0
Branches of mathematics
Mathematics can be broadly grouped into the following branches: Arithmetic : It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations-...
K

Kanchan

0 0
0

Recommended Articles

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Jaipur
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved