Question

Rolle's Theorem is not applicable to f (x) = [x] in (4, -4) because,

Where [.] is GIF function

1. f (4) \(\rm \neq \) f (-4)
2. f (x) is not differentiable 
3. f (x) is not continuous on [4, -4]
4. LHL \(\rm \neq \) RHL at x = 0

Answer 1

Correct Answer - Option 2 : f (x) is not differentiable 

Explanation: 

The given function is the greatest integer function. Function is not differentiable and continuous. Hence Rolle's Theorem is not applicable here.