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Consider a function defined in [-2,2] ...

Consider a function defined in `[-2,2]`
`f (x)={{:({x}, -2 le x lt -1),( |sgn x|, -1 le x le 1),( {-x}, 1 lt x le 2):},` where {.} denotes the fractional part function.
The number of points for `x in [-2,2]` where `f (x)` is non-differentiable is:

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
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VK JAISWAL-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{...

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  2. Consider a function defined in [-2,2] f (x)={{:({x}, -2 lle x lt -1)...

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  3. Consider a function defined in [-2,2] f (x)={{:({x}, -2 le x lt -1),...

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  4. Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

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  5. Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

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  6. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  7. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  8. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  9. Let f :R to R be a continous and differentiable function such that f (...

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  10. Let f :R to R be a continous and differentiable function such that f (...

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  11. Let f :R to R be a continous and differentiable function such that f (...

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  12. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

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  13. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

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  14. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  15. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  16. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  17. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  18. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  19. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  20. Suppose a function f(x) satisfies the following conditions f (x+y) =...

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