Home
Class 12
MATHS
L et f(x)={{:(x^(3/5),if xlt=1),(-(x-2)^...

L et `f(x)={{:(x^(3/5),if xlt=1),(-(x-2)^3,ifx >1):}` Then the number of critical points on the graph of the function is___

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 5|4 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of the following function. f(x+1)

Determine all the critical points for the function : f(x)=xe^(x^2)

For what value of 'k' is the function defined by f(x) = {:{(k(x^2+2),ifxle0),(3x+1,ifx>0):} continuous at x =0? Also write whether the function is continuous at x =1.

Determine all the critical points for the function f(x)=6x^(5)+33x^(4)-30x^(3)+100

The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is ___

Find the critical points of f(x)=x^(2//3)(2x-1)

Draw a graph of the function f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1] and find the ara enclosed between the graph of the function and the x-axis varies from 0 to 1.

The function 'f' defined as: f(x) = {:{(x^2+3x+a,ifxle1),(bx+2,ifx>1):} is derivable for every x, Find the values of 'a' and 'b'.

The number of points at which the function f(x)=(1)/(x-[x]) is not continuous is

Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)_2(b^2-2),x >1 Find the values of b for which f(x) has the greatest value at x=1.