Home
Class 12
MATHS
If f(x) = {{:(-x, " when "x lt 0),(x^(2)...

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

A

x=1

B

x=0

C

x=0,1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 le 1),(x+5,",","when" x gt 1):} , then

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

If the function g(x) = {(ksqrt(x+1) " when " 0 le x le 3),(mx + 2 " when " 3 lt x le 5):} is differentiable, then the value of (k+m) is -

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

If f(x) ={((x-|x|)/x,",","when"x != 0),(2,",","when"x = 0):} , then

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

If f(x) = {(1, ",", "when" 0 lt x le (3pi)/4),(2sin(2/9x), ",", "when" (3pi)/4 lt x lt pi):} , then