Recent questions tagged maxima-minima

+2 votes

1 answer

1

ISI2014-DCG-19
It is given that $e^a+e^b=10$ where $a$ and $b$ are real. Then the maximum value of $(e^a+e^b+e^{a+b}+1)$ is $36$ $\infty$ $25$ $21$

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 43 views

+1 vote

0 answers

2

ISI2014-DCG-21
Suppose that the function $h(x)$ is defined as $h(x)=g(f(x))$ where $g(x)$ is monotone increasing, $f(x)$ is concave, and $g’’(x)$ and $f’’(x)$ exist for all $x$. Then $h(x)$ is always concave always convex not necessarily concave None of these

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 27 views

+1 vote

1 answer

3

ISI2014-DCG-39
The function $f(x) = x^{1/x}, \: x \neq 0$ has a minimum at $x=e$; a maximum at $x=e$; neither a maximum nor a minimum at $x=e$; None of the above

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 54 views

0 votes

0 answers

4

ISI2014-DCG-42
Let $f(x)=\sin x^2, \: x \in \mathbb{R}$. Then $f$ has no local minima $f$ has no local maxima $f$ has local minima at $x=0$ and $x=\pm\sqrt{(k+\frac{1}{2} ) \pi}$ for odd integers $k$ and local maxima at $x=\pm\sqrt{(k+\frac{1}{2} ) \pi}$ for even integers $k$ None of the above

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 22 views

0 votes

1 answer

5

ISI2014-DCG-44
The function $f(x)=\sin x(1+ \cos x)$ which is defined for all real values of $x$ has a maximum at $x= \pi /3$ has a maximum at $x= \pi$ has a minimum at $x= \pi /3$ has neither a maximum nor a minimum at $x=\pi/3$

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 17 views

0 votes

1 answer

6

ISI2014-DCG-46
The maximum value of the real valued function $f(x)=\cos x + \sin x$ is $2$ $1$ $0$ $\sqrt{2}$

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 26 views

0 votes

1 answer

7

ISI2014-DCG-51
The function $f(x)$ defined as $f(x)=x^3-6x^2+24x$, where $x$ is real, is strictly increasing strictly decreasing increasing in $(- \infty, 0)$ and decreasing in $(0, \infty)$ decreasing in $(- \infty, 0)$ and increasing in $(0, \infty)$

asked Sep 23, 2019 in Calculus by Arjun Veteran (431k points) | 28 views

+4 votes

3 answers

8

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, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (59k points) | 156 views

0 votes

0 answers

9

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, 2019 in Calculus by akash.dinkar12 Boss (42.4k points) | 52 views

0 votes

1 answer

10

MadeEasy Workbook: Calculus - Maxima Minima

asked Jan 19, 2019 in Calculus by chanchala3993 (5 points) | 101 views

0 votes

0 answers

11

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 (2.5k points) | 141 views

0 votes

0 answers

12

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 (7.5k points) | 53 views

0 votes

1 answer

13

GradeUp quiz-Maxima minima

asked Nov 28, 2018 in Calculus by aditi19 Active (5.2k points) | 166 views

0 votes

1 answer

14

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 (5.2k points) | 146 views

+1 vote

1 answer

15

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 (119k points) | 158 views

+1 vote

1 answer

16

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 Active (1.7k points) | 85 views

+1 vote

2 answers

17

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 (133 points) | 120 views

+1 vote

0 answers

18

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 (18.3k points) | 238 views

+1 vote

1 answer

19

Test Series

asked Jan 12, 2018 in Calculus by vishal chugh Active (1.7k points) | 116 views

+1 vote

0 answers

20

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 (1.5k points) | 52 views

+4 votes

0 answers

21

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 Boss (10.6k points) | 389 views

+2 votes

0 answers

22

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 Boss (10.6k points) | 239 views

+1 vote

0 answers

23

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 (13.7k points) | 75 views

+2 votes

0 answers

24

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 (44.1k points) | 267 views

+1 vote

1 answer

25

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 (44.1k points) | 390 views

0 votes

0 answers

26

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 (25.6k points) | 237 views

+1 vote

0 answers

27

maxima , minima

asked Nov 6, 2017 in Calculus by Parshu gate Active (3.1k points) | 77 views

0 votes

1 answer

28

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 (203 points) | 119 views

+2 votes

0 answers

29

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 (1.2k points) | 264 views

+1 vote

0 answers

30

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 (8k points) | 175 views

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