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  • I have a doubt, kindly clarify. Which of the following graphs represents local maximaa at x = a

Which of the following graphs represents local maximaa 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

 

 In (C) , there exists an interval in neighbourhood of 'a' x=a in it , where f(a)> f(x),

In other three cases  , there  is no interval in neighbour of x=a which contains x=a 

such that f(a)> f(x) 

 

 

 

 


Option 1)

Option 2)

Option 3)

Option 4)

Posted by

Himanshu

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