Home
Class 12
MATHS
If f(x)={|1-4x^2|,0lt=x<1 and [x^2-2x],1...

If `f(x)={|1-4x^2|,0lt=x<1 and [x^2-2x],1lt=x<2` where [.] denotes the greatest integer function, then

A

differentiable for all x

B

continnous at x=1

C

non- differntiable at x=1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)= {(|1-4x^2|,; 0 lt= x lt 1), ([x^2-2x],; 1 lt= x lt 2):} , where [.] denotes the greatest integer function, then f(x) is

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

If f(x)=m a xi mu m{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=1x^3,x >0 f(x)={1/(64),0lt=xlt=1/4x^2,1/4 1 f(x)={1/(64),0lt=xlt=1/8x^2,1/8 1 f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8

If f(x)={(-x^2",",when xle0),(5x-4",","when "0 lt x le 1),(4x^2-3x",","when "1 lt x lt 2),(3x+4",",when xge2):} ,then

Let f(x)={1+(2x)/a ,0lt=x<1 and ax ,1lt=x<2 If lim_(x->1)f(x) exists ,then a is (a) 1 (b) -1 (c) 2 (d) -2

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

Find the greatest and least values of function f(x)={-x , -1lt=x<0 2-(x-1)^2, 0lt=xlt=2

f(x)={(4, xlt-1) ,(-4x,-1lt=xlt=0):} If f(x) is an even function in R then the definition of f(x) in (0,oo) is: (A) f(x)={(4x, 0ltxle1),(4, xgt1):} (B) f(x)={(4x, 0ltxle1),(-4, xgt1):} (C) f(x)={(4, 0ltxle1),(4x, xgt1):} (D) f(x)={(4, xlt-1),(-4x, -1lexle0):}

The p.d.f of a random variable X is given by f(x) = 3(1-2x^(2)), 0 lt x lt 1 = 0 , otherwise Find P((1)/(4)lt X lt (1)/(3))