Recent questions tagged maxima-minima

0 votes

2 answers

1

GATE2010 TF: GA-5
Consider the function $f(x)=\max(7-x,x+3).$ In which range does $f$ take its minimum value$?$ $-6\leq x<-2$ $-2\leq x<2$ $2\leq x<6$ $6\leq x<10$

asked May 14 in Numerical Ability by Lakshman Patel RJIT Boss (44k points) | 63 views

0 votes

0 answers

2

ISI2018-MMA-30
Consider the function $f(x)=\bigg(1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\dots+\frac{x^n}{n!}\bigg)e^{-x}$, where $n\geq4$ is a positive integer. Which of the following statements is correct? $f$ has no local maximum For every $n$, $f$ has a local maximum at $x = 0$ ... at $x = 0$ when $n$ is even $f$ has no local extremum if $n$ is even and has a local maximum at $x = 0$ when $n$ is odd.

asked May 11 in Calculus by akash.dinkar12 Boss (41.1k points) | 35 views

0 votes

0 answers

3

MadeEasy Workbook: Calculus - Maxima Minima

asked Jan 19 in Calculus by chanchala3993 (5 points) | 56 views

0 votes

0 answers

4

Shortcut Method to find Maxima and Minima in Calculus
https://www.youtube.com/watch?v=tyiQLindzCE This is a great video but covers formula for cubic root what about for any given equation x^n,what would be the solution?

asked Dec 26, 2018 in Calculus by sripo Active (2.3k points) | 106 views

0 votes

0 answers

5

Self Doubt
$f(x) =2x^{3}-9x^{2} +1$ 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 Nov 29, 2018 in Mathematical Logic by jatin khachane 1 Loyal (6.8k points) | 44 views

0 votes

1 answer

6

GradeUp quiz-Maxima minima

asked Nov 28, 2018 in Calculus by aditi19 Active (4k points) | 148 views

0 votes

1 answer

7

Maxima and Minima
Find the stationary points, maxima and minima f(x)=|x+1|+|x-1| , -3<=x<=2

asked Oct 10, 2018 in Calculus by aditi19 Active (4k points) | 122 views

+1 vote

1 answer

8

Finding Maxima Minima
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____

asked Jul 19, 2018 in Calculus by srestha Veteran (113k points) | 147 views

+1 vote

1 answer

9

IIT M MS Question
Since given increasing,so $N'(t)>0$ but what will be $N''(t)$ for the slow rate part?

asked May 7, 2018 in Calculus by Sourajit25 Junior (997 points) | 80 views

+1 vote

2 answers

10

How Ans. A is correct
At x = 0, the function f(x)=|x| has (A) a minimum (B) a maximum (C) a point of inflection (D) neither a maximum nor minimum

asked May 7, 2018 in Calculus by Karan Dodwani (113 points) | 110 views

+1 vote

0 answers

11

Maxima and Minima of 2 variable
Is the followIng case is possible rt-s^2 > 0 and r= 0?

asked Jan 18, 2018 in Calculus by Shubhanshu Boss (18k points) | 220 views

+1 vote

1 answer

12

Test Series

asked Jan 12, 2018 in Calculus by vishal chugh Active (1.7k points) | 109 views

+1 vote

0 answers

13

MadeEasy Test Series: Calculus - Maxima Minima
f(x) = 2x3 – 15x2 + 36x + 1 is increasing in the interval a) b) c)

asked Jan 6, 2018 in Mathematical Logic by Kuldeep Pal Active (1.4k points) | 45 views

+4 votes

0 answers

14

Maxima-Minima: EC GATE 2014
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $ _____________________

asked Jan 4, 2018 in Calculus by Tuhin Dutta Loyal (9.2k points) | 366 views

+2 votes

0 answers

15

Maxima-Minima: ME GATE 2015
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$

asked Jan 4, 2018 in Calculus by Tuhin Dutta Loyal (9.2k points) | 225 views

+1 vote

0 answers

16

Finding minima of function.
For what value of 'k' (in terms of $X_{i}$'s) following functions will attain their minimum value $\rightarrow$ $F_{1}(k)$ = $\sum_{i=0}^{n} \left | X_{i} - k \right |$ $F_{2}(k)$ = $\sum_{i=0}^{n}\left ( X_{i} - k \right )^{2}$ If possible, please provide some valid proof for supporting your answer ?

asked Nov 11, 2017 in Probability by Chhotu Boss (12.4k points) | 64 views

+1 vote

0 answers

17

Maths: maxima - minima (global minmum vs local minimum)
Que:- Consider the function f(x) = $2x^3 - 3x^2$ in the domain [-1, 2], the "global minimum" value of f(x) is _______? (A) -5 (B)-1 (C)4 (D) 0 Solution: f(x) = $2x^3 - 3x^2$ f'(x) = ... then what will be the answer -5 or -1, as closed intervals are given, so in case of local minimum also we should consider the extreme points, right?

asked Nov 9, 2017 in Calculus by Manu Thakur Boss (42.6k points) | 233 views

0 votes

1 answer

18

Maths: maxima and minima
In this maxima - minima question, teacher says that critical point -2 doesn't belong to the interval [-3, 3], isn't this wrong or i am missing something?

asked Nov 9, 2017 in Calculus by Manu Thakur Boss (42.6k points) | 340 views

0 votes

0 answers

19

Maxima Minima
Find the maximum value of f(x). n is a constant f(x)= C(x,2) *$2^{n-x}$

asked Nov 6, 2017 in Calculus by rahul sharma 5 Boss (24.5k points) | 181 views

+1 vote

0 answers

20

maxima , minima

asked Nov 6, 2017 in Calculus by Parshu gate Active (3.1k points) | 73 views

0 votes

1 answer

21

Previous year
Consider the function f(x)=sin(x) in the interval x=[π/4,7π/4]. The number and location(s) of the local minima of this function are (A) One, at π/2 (B) One, at 3π/2 (C) Two, at π/2 and 3π/2 (D) Two, at π/4 and 3π/2 Please explain how pie ... is points where slope is 0 for f(x) not the end points.End points is used for absolute minima/maxima ( as much as i have read in books that is).

asked Oct 14, 2017 in Mathematical Logic by Sayan Ghosh (195 points) | 112 views

+2 votes

0 answers

22

Maxima and minima
Could we always say that in case of local minima or maxima we do not consider the extreme points we only check for critical points while in case of absolute maxima we check both at end points as well as at critical point...Please correct me if I am wrong.

asked Oct 8, 2017 in Calculus by shivangi5 Active (1.1k points) | 246 views

+1 vote

0 answers

23

maxima minima problem
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____ .

asked Aug 10, 2017 in Calculus by Vicky rix Loyal (7.5k points) | 171 views

0 votes

1 answer

24

Calculus maxima minima
True / false ? In continuous function if we have three stationary points then always it will be case that either one is maxima and two are minima or one is minima and two are maxima ? I think it is true but i am concerned about constant fucntion

asked Jun 30, 2017 in Calculus by rahul sharma 5 Boss (24.5k points) | 189 views

+7 votes

1 answer

25

ISI2004-MIII-12
The maximum possible value of $xy^2z^3$ subjected to condition $x,y,z \geq 0$ and $x+y+z=3$ is $1$ $\frac{9}{8}$ $\frac{9}{4}$ $\frac{27}{16}$

asked Apr 4, 2017 in Calculus by Tesla! Boss (18k points) | 360 views

+4 votes

2 answers

26

ISI2004-MIII-7
The equation $x^{6}-5x^{4}+16x^{2}-72x+9=0$ has exactly two distinct real roots exactly three distinct real roots exactly four distinct real roots six different real roots

asked Apr 3, 2017 in Set Theory & Algebra by Tesla! Boss (18k points) | 339 views

+19 votes

4 answers

27

GATE2017-2-GA-9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is $0$ $1$ $2$ $3$

asked Feb 14, 2017 in Numerical Ability by Arjun Veteran (416k points) | 4.8k views

+21 votes

4 answers

28

GATE2017-1-GA-8
The expression $\large \frac{(x+y) - |x-y|}{2}$ is equal to : The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above

asked Feb 14, 2017 in Numerical Ability by Arjun Veteran (416k points) | 2.8k views

+4 votes

1 answer

29

GATE1987-1-xxvi
If $f(x_{i}).f(x_{i+1})< 0$ then There must be a root of $f(x)$ between $x_i$ and $x_{i+1}$ There need not be a root of $f(x)$ between $x_{i}$ and $x_{i+1}$. There fourth derivative of $f(x)$ with respect to $x$ vanishes at $x_{i}$. The fourth derivative of $f(x)$ with respect to $x$ vanishes at $x_{i+1}$.

asked Nov 9, 2016 in Calculus by makhdoom ghaya Boss (29.5k points) | 480 views

+2 votes

1 answer

30

GATE [Math]

asked Oct 6, 2016 in Mathematical Logic by Prateek kumar Loyal (8.4k points) | 137 views

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