Let f(x) = maximum {4, 1 + x^(2), x^(2) ...

Let f(x) = maximum `{4, 1 + x^(2), x^(2) -1}, AA x in R`. Then, the total number of points, where f(x) is not differentiable,……

A

2

B

4

C

6

D

0

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

CONTINUITY AND DIFFERENTIABILITY
AAKASH INSTITUTE ENGLISH|Exercise Section - C ( More than one options are correct )|5 Videos
CONTINUITY AND DIFFERENTIABILITY
AAKASH INSTITUTE ENGLISH|Exercise Section - D|6 Videos
CONTINUITY AND DIFFERENTIABILITY
AAKASH INSTITUTE ENGLISH|Exercise Assignment ( section -A)|61 Videos
CONIC SECTIONS
AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos
DETERMINANTS
AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

f(x) = maximum {4, 1 + x^2, x^2-1) AA x in R . Total number of points, where f(x) is non-differentiable,is equal to

If f(x)=" min "{(sqrt(9-x^(2)), sqrt(1+x^(2)))}, AA, x in [-3, 3] then the number of point(s) where f(x) is non - differentiable is/are

Let f(x)="min"{sqrt(4-x^(2)),sqrt(1+x^(2))}AA,x in [-2, 2] then the number of points where f(x) is non - differentiable is

Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/are

Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Consider the function f(x)=min{|x^(2)-9|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x) is non derivable, is :

The number of points in (1,3) , where f(x) = a(([x^2]),a>1 is not differential is

In (0, 2pi) , the total number of points where f(x)=max.{sin x, cos x, 1 - cos x} is not differentiable , are equal to

Let |f (x)| le sin ^(2) x, AA x in R, then

AAKASH INSTITUTE ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Section -B

lim(x->0)((4^x+9^x)/2)^(1/x)
Text Solution
|
If underset (xrarr0)"lim"(cosx+asinbx)^(1/x)=e^(2) then the possible v...
Text Solution
|
underset(x to 0)(Lt) (sqrt(1 - cos 2 x))/(sqrt(2)x) =
Text Solution
|
lim(x to 2^+) (([x]^(3))/(3) - [(x)/(3)]^(3)) is where [x] represents ...
Text Solution
|
The value of lim(x to 0) ((4^(x) - 1)^(3))/("sin"(x)/(4) log (1 + (x^...
Text Solution
|
If f(x)= {:{((x^(2) + 3x+p)/(2(x^(2)-1)) , xne 1),(5/4, x = 1):} is co...
Text Solution
|
In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...
Text Solution
|
The number of points at which the function f(x) = 1/ (log |2x|) is di...
Text Solution
|
If f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne 0),(0 , x =0 ):} then f(x) is
Text Solution
|
The set of points where f(x)=x/(1+|x|) is differentiable is
Text Solution
|
The function |x^2 - 3x+2| + cos |x| is not differentiableat x=
Text Solution
|
At x = 0 , the function y = e^(-|x|) is
Text Solution
|
Let f(x) = lambda + mu|x|+nu|x|^2, where lambda,mu, nu in R, then f'(0...
Text Solution
|
If {x} denotes the fractional part of x, then underset(x to 0)(lim) ({...
Text Solution
|
Let f(x) = [x] , g(x)= |x| and f{g(x)} = h(x) ,where [.] is the gre...
Text Solution
|
A function f is defined by f(x^(2) ) = x^(3) AA x gt 0 then f(4) equ...
Text Solution
|
If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4...
Text Solution
|
Let f(x) = maximum {4, 1 + x^(2), x^(2) -1}, AA x in R. Then, the tota...
Text Solution
|
Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^(3)).Find g'(x) in te...
Text Solution
|
If f is a real- valued differentiable function satisfying |f(x) - f(y)...
Text Solution
|