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Prove that the greatest integer function...

Prove that the greatest integer function defined by `f(x)= [x], 0 lt x lt 3` is not differentiable at x=1 and x=2.

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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.2
  1. Differentiate the functions with respect to x in sin (x^(2) + 5)

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  2. Differentiate the functions with respect to x in cos (sin x)

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  3. Differentiate the functions with respect to x in sin(ax+b)

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  4. Differentiate the functions with respect to x in sec(tan (sqrtx))

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  5. Differentiate the functions with respect to x in Exerecises 1 to 8. ...

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  6. Differentiate the functions with respect to x in Exerecises 1 to 8. ...

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  7. Differentiate the functions with respect to x in 2 sqrt(cot (x^(2)))

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  8. Differentiation of cos (sqrt(x)) with respect to x is

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  9. Prove that the function f given by f(x)= |x-1|, x in R is not differen...

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  10. Prove that the greatest integer function defined by f(x)= [x], 0 lt x ...

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  11. Differentiate the functions with respect to x in sin (x^(2) + 5)

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  12. Differentiate the functions with respect to x in cos (sin x)

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  13. Differentiate the functions with respect to x in sin(ax+b)

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  14. Differentiate the functions with respect to x in sec(tan (sqrtx))

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  15. Differentiate the functions with respect to x in (sin (ax + b))/(cos...

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  16. Differentiate the functions with respect to x in cos(x^(3)).sin^(2) ...

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  17. Differentiate the functions with respect to x in 2 sqrt(cot (x^(2)))

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  18. Differentiate the functions with respect to x in cos (sqrtx)

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  19. Prove that the function f given by f(x)= |x-1|, x in R is not differen...

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  20. Prove that the greatest integer function defined by f(x)= [x], 0 lt x ...

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