which of the folloiwng function has poin...

which of the folloiwng function has point of extremum at x =0?

f(x) =`e^(-|x|`

f(x) = sin |x|

f(x)=`{{:(x^(2)+4x+3,xlt0),(-x,xge0):}`

Text Solution

Verified by Experts

The correct Answer is:

1,2,4

Topper's Solved these Questions

MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS
CENGAGE|Exercise Exercise (Comprehension)|42 Videos
MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS
CENGAGE|Exercise Linked comprehension type|8 Videos
MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS
CENGAGE|Exercise Exercise (Single)|93 Videos
METHODS OF DIFFERETIATION
CENGAGE|Exercise Question Bank|29 Videos
MONOTONOCITY AND NAXINA-MINIMA OF FUNCTIONS
CENGAGE|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Which of the following function has point of extremum at x=0? f(x)=e^(-|x|) f(x)="sin"|x| f(x)={x^2+4x+3,x<0-x , xgeq0 f(x)={|x|,x<0{x},0lt=x<1 (where {x} represents fractional part function).

Which of the following functions have point of relative extremum at x=0?(A)f(x)=sin x-x

Which of the following is true about point of extremum x=a of function y=f(x)? At x=a, function y=f(x) may be discontinuous.At x=a, function y=f(x) may be continuous but non-differentiable.At x=a, function y=f(x) may have point of inflection.none of these

Which of the folloiwng not a bryophyte ?

which of the following function(s) not defined at x=0 has/have removable discontinuity at x=0

Which of the following function(s) not defined at x =0 has / have removable discontinuity at x = 0 ?

Investigate the following functions for an extremum at the point x = 0 : y = cos x -1 +(x^(2))/2

Which of the following function(s) not defined at x=0 has/have non-removable discontinuity atthe point x=0?f(x)=(1)/(1+2^((1)/(x)))

Which of the following function ) not defined at x=0 has/have removable discontimuigy at x=0?

CENGAGE-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Exercise (Multiple)

If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 is a point of local maximum, i...
Text Solution
|
For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...
Text Solution
|
Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...
Text Solution
|
If f(x)a n dg(x) are two positive and increasing functions, then which...
Text Solution
|
An extremum of the function f(x)=(2-x)/picospi(x+3)+1/(pi^2)sinpi(x+3)...
Text Solution
|
For the function f(x)=x^4(12(log)e x-7), the point (1,7) is the point...
Text Solution
|
Let f(x)=log(2x-x^2)+sin(pix)/2dot Then which of the following is/are ...
Text Solution
|
Which of the following hold(s) good for the function f(x)=2x-3x^(2/3)?...
Text Solution
|
For the function f(x)=(e^x)/(1+e^x), which of the following hold good?...
Text Solution
|
Which of the following is true about point of extremum x=a of function...
Text Solution
|
which of the folloiwng function has point of extremum at x =0?
Text Solution
|
Which of the following function/functions has/have point of inflection...
Text Solution
|
The funciton f(x)=x^(2)+(lambda)/(x)has a
Text Solution
|
The function f(x)=x^(1/3)(x-1) has two inflection points has one poin...
Text Solution
|
Let f be function f(x)=cosx-(1-X^(2)/(2)).Then
Text Solution
|
Consider the function f(x)= x cos x - sin x , then identify the statem...
Text Solution
|
If f(x)=(x^2)/(2-2cosx);g(x)=(x^2)/(6x-6sinx) where 0 < x < 1, then (A...
Text Solution
|
Find the greatest value of f(x)1/(2a x-x^2-5a^2)in[-3,5] depending upo...
Text Solution
|
For any acute angled triangleABC,(sinA)/(A)+(sinB)/(B)+(sinC)/(C ) can
Text Solution
|
Let f(x) be a non negative continuous and bounded function for all xge...
Text Solution
|