Home
Class 12
MATHS
For the function f(x) = x^(2//3) , which...

For the function f(x) = `x^(2//3)` , which of the following statement(s) is/are true ?

A

`(dy)/(dx)` at the origin is non existent

B

equation of the tangent at the origin is x = 0

C

f(x) has an extremum at x = 0

D

origin is the point of inflection

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -4 (LEVEL - I)|10 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -2 (LEVEL- I)|26 Videos
  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

For the function f(x)=x^(3)-6x^(2)-36x+7 which of the following statements is false?

For the function f(x)=lambda x^(2)+3x+2 which of the following is true?

For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the following statements is/are true

Consider the function f(x)=In(sqrt(1-x^(2))-x) then which of the following is/are true?

For the function f(x) = 2 x ^(3) - 3x ^(2) - 12 x + 4 which of the following statement is correct

If the function F: R to R is defined by f(x)=|x|(x-sinx) , then which o f the following statemnts is true ?

Consider the function f(x)=|x-1|+x^(2) where x in R. Which one of the following statements is correct?

Let f(x) = |x - 1|([x] - [-x]) , then which of the following statement(s) is/are correct. (where [.] denotes greatest integer function.)