Home
Class 12
MATHS
Prove that the function f given by f(x)...

Prove that the function f given by `f(x)" "=" "|" "x" "" "1|," "x in R` is not differentiable at `x" "=" "1`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.3|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.4|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.1|39 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f given by f(x)= |x-1|, x in R is not differentiable at x=1

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.

The set of points where the function f given by f(x)= |2x-1| sin x is differentiable is x in ……….

Prove that the function f :R rarr R , given by f(x) = 2x, is one-one and onto.

Show that the function f given by f(x)=x^(3)-3x^(2)+4x, x in R is increasing on R.

Find local minimum value of the function f given by f(x)=3+|x|, x in R .

Prove that the function f given by f(x) = x ^(2) – x + 1 is neither strictly increasing nor decreasing on (– 1, 1).

Prove that the function given by f(x)=x^(3)-3x^(2)+3x-100 is increasing in R.