Home
Class 12
MATHS
If f(x) = x^(3)sgn (x), then...

If `f(x) = x^(3)`sgn (x), then

A

f is differentiable at x = 0

B

f is continuous but not differentiable at x = 0

C

`f'(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^(3)- (1)/(x^(3)) then show that f(x)+ f((1)/(x))= 0

If f(x) = [4-(x-7)^(3) ] , then f^(-1)(x) = .........

f(x)= x^(3) sgn(x). Show that f(x) is differentiable at x=0.

If f(x)= (x-3)/(x + 1) then f[f {f(x)}] = …….

If f(x)= x^(2 )+ 2x + 3 then find f(1), f(2), f(3)

If f(x)= |cos x- sin x| , then f'((pi)/(3)) is equal to …….

If f:R-{3/5} rarr R be defined by f(x) = (3x+2)/(5x-3) , then .........

If f : R rarr R be given by f(x) = (3-x^(3))^(1/3) then fof (x) is

If f(x) = |x|^(3) , show that f''(x) exists for all real x and find it

If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^(-1)(x) is ........