Find the number of points of non-diferen...

Find the number of points of non-diferentiability for `f(x)=max{||x|-1|,1//2}`.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|35 Videos
CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|29 Videos
COMPOUND ANGLES
VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos
DETERMINANTS
VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

The total number of points of non-differentiability of f(x)=max{sin^2 x,cos^2 x,3/4} in [0,10 pi], is

The number of points of non- differentiability of function f(x) = max { sin ^(-1)|sin x|, cos ^(-1) |sin x|} ,0 lt x lt 2 pi , is ________.

The total number of points of non-differentiability of f(x) = min[|sin x|,|cos x|, (1)/(4)]"in"(0, 2pi) is

Discuss the differentiability of f(x)="max"{x^2-3x+2,2-|x-1|}

Find the number of points where the function f(x) = max(|tanx|,cos|x|) is non-differentiable in the interval (-pi,pi) .

Discuss the differentiability of f(x)="max"{tan^(-1)x ,cot^(-1)x}dot

Discuss the differentiability of f(x)="max"{sec^(-1)x , cosec^(-1)x}

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

Consider the function f(x)=max{|sinx|,|cosx|},AA"x"in[0,3pi]. if lamda is the number of points at which f(x) is non - differentiable , then value of (lamda^3)/5 is

f(x)={(|2x-3|[x],0lexle2),(x^(2)/2,2ltxle3):} . If f(x) is defined in (0,3) then ([.] denotes greatest integer function) A. Point of discontiuity at x=1, 1/2,2 B. Point of discontinuity at x=1 and 2 C. Point of non-differentiability at x=1, 1/2,2 D. Point of non-differentiability at x=1, 3/2, 2

VK JAISWAL ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)

Find the number of points of non-diferentiability for f(x)=max{||x|-1|...
Text Solution
|
Let f (x)= {{:(ax (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +q...
Text Solution
|
If y= sin (8 sin ^(-1) x ) then (1-x ^(2)) (d^(2)y)/(dx ^(2))-x (dy)/...
Text Solution
|
If y ^(2) =4ax, then (d^(2) y)/(dx ^(2))=(ka ^(2))/( y ^(2)), where k ...
Text Solution
|
The number of values of x , x ∈ [-2,3] where f (x) =[x ^(2)] sin (pix)...
Text Solution
|
If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
Consider f(x) =x^(2)+ax+3 and g(x) =x+band F(x) = lim( n to oo) (f...
Text Solution
|
Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f...
Text Solution
|
If f (x) +2 f (1-x) =x ^(2) +2 AA x in R and f (x) is a differentiable...
Text Solution
|
Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number o...
Text Solution
|
If (d^(2))/(d x ^(2))((sin ^(4)x+ sin ^(2)x+1)/(sin ^(2)x + si n x+1))...
Text Solution
|
f (x) =a cos (pix)+b, f'((1)/(2))=pi and int (1//2)^(3//2) f (x) dx =2...
Text Solution
|
Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1...
Text Solution
|
Let f (x) =-4.e ^((1-x)/(2))+ (x ^(3))/(3 ) + (x ^(2))/(2)+ x+1 and g ...
Text Solution
|
If y=3^(2 sin ^(-1)) then |((x ^(2) -1) y^('') +xy')/(y)| is equal to
Text Solution
|
Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5)...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
For the curve sinx+siny=1 lying in first quadrant. If underset(xrarr0...
Text Solution
|
Let f (x) = x tan ^(-1) (x^(2)) + x^(4) Let f ^(k) (x) denotes k ^(th)...
Text Solution
|
If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...
Text Solution
|