Home
Class 12
MATHS
If f(x)={(x,"when "0le x le 1),(2x-1,"wh...

If `f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):}` then -

A

f(x) is not differentiable at x = 1

B

f(x) is not continuous at x = 1

C

f(x) is differentiable at x = 1

D

f(x) is neither continuous nor differentiable at x = 1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = {{:(-x, " when "x lt 0),(x^(2), " when "0 le x le 1),(x^(3) -x+1, " when " x gt 1):} then f is differentiable at

If f(x) = {(x^(2), ",","when" x le 1),(x+5,",","when" x gt 1):} , then

If f(x) = {(kx-1, "when" x lt 2),(x+1,"when" x gt 2),(3, "when: x = 2):} is continuous at x = 2 , then k =

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x) = {(x^(2), ",","when" x != 1),(2,",","when" x = 1):} , then

If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , then f(x) is discontinuous at

If f(x) = {(ax^(2)-b, ",", "when" 0 le x le 1),(2, ",","when"x = 1),(x+1, ",","when"1 lt x le 2):} is continuous at x = 1, then the most suitable values of a, b are

If f(x) ={(e^(1/x),",","when"x != 0),(1,",","when"x = 0):} , then

If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is