Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Help me understand! Which of the following graphs represents local minima at x = a ?

Which of the following graphs represents local minima at x = a ?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

best_answer

As we have learned

Local maximum and Local minimum -

Let  y = f(x)  be the given function then  x=x_{\circ }   is a point of local maximum if there exists an open interval containing  x_{\circ }  such that  f(x_{\circ })>f(x)

for all values of  x  lying in that interval and for f(x_{\circ })<f(x)  then it is local minimum in fig and at

x=a,x=c\:\:\:Local\:\: maxima

and\:at\:\:x=b,x=d\:\:\:Local\:\: minima

- wherein

 

 Here (D) is the only case where we will have an interval in the neighbourhood of x= a which contains x=a and f(a)< f(x)

 

 

 

 


Option 1)

Option 2)

Option 3)

Option 4)

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2025 January 24 shift 2 easiest so far; memory-based questions, section-wise difficulty level
anam-khan

JEE Mains 2025 January 24 shift 1 unofficial answer keys out; question paper solutions
anam-khan

JEE Main is ‘business’ today; parents link expensive education, coaching, IIT fee hike to student suicides

Latest Question