Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off


2. The function  f(x)=x^2/|x| when x not = 0, & 0 when x=0. Then

(a) is not continuous at x = 0

(b) continuous at x = 0, but not differentiable

(c) differentiable once, but not twice

(d) differentiable infinitely many times

6 years ago


Answers : (1)


Dear Arnab Das      ,

 f(x)= x   when x>o
     = -x  when x<0
     = 0   when x=0

 so the function is continous for all x
 and the function is not differentiabele at x =0
 so the answer b is the right one
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.

All the best  Arnab Das      !!!


Askiitians Experts

Chaitanya Sagar

6 years ago

Post Your Answer

Other Related Questions on Differential Calculus

Find:-- lim x 2 - 4 x→2. ---------------- √x+2 - √3x-2
Rationalise it or apply H-sopital. => (x^2-4)* (√x+2 + √3x-2) / (x+2 - 3x + 2) => (x^2-4)* (√x+2 + √3x-2)/(-2x +4) =>(x-2) (x+2) (√x+2 + √3x-2)/-2(x-2) => -2(x+2) (√x+2 + √3x-2) Simply Now...
Vikas TU 2 months ago
tell me tricks in calculations??????????????????/////???????????/
if you may know the shortcuts then you may solve many problems in a fraction of please try to know the shortcuts.
N JYOTHEESWAR 9 months ago
hi chethan Have someone type in any number between 1 and 900 into the calculator without letting you know what it is. (Actually, this trick will work for numbers greater ...
manichandra 9 months ago
dear iitian.. there are many skills to calculate calculation....first we have to know the shortcuts then only you have able to the solve problems..............
mohan 9 months ago
The sum of n terms of an ap is n squares.find its common difference.
(n/2)(a + l) = n^2 a + l = 2n l = 2n – a l = a + (n-1)d = 2n – a d = 2(n – a)/(n-1) where a would be the first term always.
2017 years ago
Why we have to do matrices? What is use from this topic? please tell me the answer..
by using matrices we can solve the llinear equations in two and three variables .it also useful while calculating in rows and coloumns...and in engineering there is lot of uses with...
KALYAN 10 months ago
matrices is to read, u should do this because u wont get marks unless u practice& the use is that u can get marks in sems, ---{reality}/in/{rgukt}
qq 10 months ago
Hello Prabhakar A matrix is a collection of numbers arranged into a fixed number of rows and columns. Usually the numbers are real numbers. In general, matrices can contain complex numbers...
Gaddam Chethan 10 months ago
32tan power8 (a) = 2cos power2 (b) - 3cos (b) and 3cos2a =1 then find the general value of b.
32 tan^8⁡a=2cos^2⁡b-3 cos⁡b3 cos⁡2a=1cos⁡2a=1/3(1-tan^2⁡a)/(1+tan^2⁡a )=1/3tan^2⁡a=1/2tan^8⁡a=1/1632(1/16)=2cos^2⁡b-3 cos⁡b2=2cos^2⁡b-3 cos⁡b2 cos^2⁡b-3 cos⁡b-2=02 cos^2⁡b-4 cos⁡b+cos⁡b-2=02...
Aman 2 months ago
A circle passes through (2,1) and x+2y=1 is tangent to it at (3,-1). Find its equation
find the perpendicular distance from cenetr of circle to the given tangent. m = |x1 + 2y1 – 1|/|root(x1^2 + y1^2)| and equate it to root((x1-3)^2 + (y1+1)^2) = m {from distance formulae}...
Vikas TU 3 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 400 off

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details