Home
Class 11
MATHS
Is the function f(x) = |x| differentiabl...

Is the function `f(x) = |x|` differentiable at the origin. Justify your answer.

Text Solution

Verified by Experts

The correct Answer is:
`R f'(0) ne L f'(0) therefore f(x)` is not differentiable at `x=0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 (Choose the correct or the most suitable answer from the given four alternatives.)|25 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

Similar Questions

Explore conceptually related problems

Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

f(x)=(x)/(1+|x|) then f is differentiable at

Octopus, cockroach and frog all have eyes. Can we group these animals together to establish a common evolutionary origin. Justify your answer.

In each of the following cases state whether the functions is bijective or not. Justify your answer: f:R to R defined by f(x)=3-4x^(2)

In each of the following cases state whether the functions is bijective or not. Justify your answer: f:R to R defined by f(x)=2x+1