The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
31 views

 

$f(x) =2x^{3}-9x^{2} +1$ 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]

​​​​​​​​​​​​​​ 

asked in Mathematical Logic by Loyal (5.7k points) | 31 views
0
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
Answer given:
Local Maxima : x=0

Local Minima : x = -2,+2,..[3 is not in interval]
0
and minimum value and maximum value?
+1

 

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

0

see this it might be helpful

https://gateoverflow.in/271691/maxima-minima

0

How it will be minima at x = -2.

0
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
ok thanks

Please log in or register to answer this question.

Related questions

+2 votes
1 answer
2
asked Oct 6, 2016 in Mathematical Logic by Prateek kumar Loyal (8.4k points) | 127 views
+2 votes
1 answer
3
asked Oct 6, 2016 in Mathematical Logic by Prateek kumar Loyal (8.4k points) | 145 views
0 votes
1 answer
5
asked Nov 28, 2018 in Calculus by aditi19 Active (2.2k points) | 103 views


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

47,005 questions
51,325 answers
177,498 comments
66,668 users