0 votes 0 votes $f(x) =2x^{3}-9x^{2} +1$ on the interval [−2,2] 1) Find all the local (=relative) minima and maxima of the function 2) Find all the minimum and maximum value of the function in [-2,2] Mathematical Logic engineering-mathematics maxima-minima + – jatin khachane 1 asked Nov 29, 2018 jatin khachane 1 589 views answer comment Share Follow See all 9 Comments See all 9 9 Comments reply Lakshman Bhaiya commented Nov 29, 2018 i edited by Lakshman Bhaiya Nov 29, 2018 reply Follow Share Local maxima at $x=0$ and local minima at $x=-2,2$ Maximum value$=1 $ at $x=0$ and minimum value $=-51$ at $x=-2$ 0 votes 0 votes jatin khachane 1 commented Nov 29, 2018 reply Follow Share Answer given: Local Maxima : x=0 Local Minima : x = -2,+2,..[3 is not in interval] 0 votes 0 votes Lakshman Bhaiya commented Nov 29, 2018 reply Follow Share and minimum value and maximum value? 0 votes 0 votes jatin khachane 1 commented Nov 29, 2018 reply Follow Share Actually this maximum and minimum value is not part of question But Maximum value=1 at x=0 and minimum value =−51 at x=−2 Is right 1 votes 1 votes Lakshman Bhaiya commented Nov 29, 2018 reply Follow Share see this it might be helpful https://gateoverflow.in/271691/maxima-minima 0 votes 0 votes kumar.dilip commented Nov 29, 2018 reply Follow Share Lakshman Patel RJIT How it will be minima at x = -2. 0 votes 0 votes Lakshman Bhaiya commented Nov 29, 2018 reply Follow Share Local minima is not possible at $x=-2,2$ because we find critical points $x=0,3$ but $x=3$ is not possible,becuase it is not present in the interval 0 votes 0 votes jatin khachane 1 commented Nov 29, 2018 reply Follow Share ref https://mathinsight.org/local_minima_maxima_refresher Check this example ..this may help https://gateoverflow.in/1722/gate1998-8 https://gateoverflow.in/41/gate2012-9 0 votes 0 votes Lakshman Bhaiya commented Nov 29, 2018 reply Follow Share ok thanks 0 votes 0 votes Please log in or register to add a comment.