Register

Recent questions tagged maxima-minima

23 votes
3 answers
62
GATE CSE 2020 | Question: 1
Consider the functions $e^{-x}$ $x^{2}-\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only
Consider the functions $e^{-x}$$x^{2}-\sin x$$\sqrt{x^{3}+1}$Which of the above functions is/are increasing everywhere in $[ 0,1]$?Ⅲ onlyⅡ onlyⅡ and Ⅲ onlyⅠ a...
User Avatar
3 votes
1 answer
65
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 $36$ $\infty$ $25$ $21$
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$$21$
User Avatar
1 votes
1 answer
66
ISI2014-DCG-21
Suppose that the function $h(x)$ is defined as $h(x)=g(f(x))$ where $g(x)$ is monotone increasing, $f(x)$ is concave, and $g’’(x)$ and $f’’(x)$ exist for all $x$. Then $h(x)$ is always concave always convex not necessarily concave None of these
Suppose that the function $h(x)$ is defined as $h(x)=g(f(x))$ where $g(x)$ is monotone increasing, $f(x)$ is concave, and $g’’(x)$ and $f’’(x)$ exist for all $x$....
User Avatar
1 votes
1 answer
67
ISI2014-DCG-39
The function $f(x) = x^{1/x}, \: x \neq 0$ has a minimum at $x=e$; a maximum at $x=e$; neither a maximum nor a minimum at $x=e$; None of the above
The function $f(x) = x^{1/x}, \: x \neq 0$ hasa minimum at $x=e$;a maximum at $x=e$;neither a maximum nor a minimum at $x=e$;None of the above
User Avatar
0 votes
0 answers
68
ISI2014-DCG-42
Let $f(x)=\sin x^2, \: x \in \mathbb{R}$. Then $f$ has no local minima $f$ has no local maxima $f$ has local minima at $x=0$ and $x=\pm\sqrt{(k+\frac{1}{2} ) \pi}$ for odd integers $k$ and local maxima at $x=\pm\sqrt{(k+\frac{1}{2} ) \pi}$ for even integers $k$ None of the above
Let $f(x)=\sin x^2, \: x \in \mathbb{R}$. Then$f$ has no local minima$f$ has no local maxima$f$ has local minima at $x=0$ and $x=\pm\sqrt{(k+\frac{1}{2} ) \pi}$ for odd i...
User Avatar
0 votes
1 answer
69
ISI2014-DCG-44
The function $f(x)=\sin x(1+ \cos x)$ which is defined for all real values of $x$ has a maximum at $x= \pi /3$ has a maximum at $x= \pi$ has a minimum at $x= \pi /3$ has neither a maximum nor a minimum at $x=\pi/3$
The function $f(x)=\sin x(1+ \cos x)$ which is defined for all real values of $x$has a maximum at $x= \pi /3$has a maximum at $x= \pi$has a minimum at $x= \pi /3$has neit...
User Avatar
0 votes
1 answer
70
ISI2014-DCG-46
The maximum value of the real valued function $f(x)=\cos x + \sin x$ is $2$ $1$ $0$ $\sqrt{2}$
The maximum value of the real valued function $f(x)=\cos x + \sin x$ is$2$$1$$0$$\sqrt{2}$
User Avatar
1 votes
1 answer
71
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 $(0, \infty)$
The function $f(x)$ defined as $f(x)=x^3-6x^2+24x$, where $x$ is real, isstrictly increasingstrictly decreasingincreasing in $(- \infty, 0)$ and decreasing in $(0, \infty...
User Avatar
8 votes
3 answers
72
GATE2010 TF: GA-5
Consider the function $f(x)=\max(7-x,x+3).$ In which range does $f$ take its minimum value$?$ $-6\leq x<-2$ $-2\leq x<2$ $2\leq x<6$ $6\leq x<10$
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$
User Avatar
0 votes
0 answers
75
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?
https://www.youtube.com/watch?v=tyiQLindzCEThis is a great video but covers formula for cubic root what about for any given equation x^n,what would be the solution?
User Avatar
0 votes
0 answers
76
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] ​​​​​​​​​​​​​​
$f(x) =2x^{3}-9x^{2} +1$ on the interval [−2,2]1) Find all the local (=relative) minima and maxima of the function​​​​​​​2) Find all the minimum and maxim...
User Avatar
0 votes
1 answer
77
GradeUp quiz-Maxima minima
User Avatar
0 votes
1 answer
78
Maxima and Minima
Find the stationary points, maxima and minima f(x)=|x+1|+|x-1| , -3<=x<=2
Find the stationary points, maxima and minimaf(x)=|x+1|+|x-1| , -3<=x<=2
User Avatar
1 votes
1 answer
79
Finding Maxima Minima
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____
User Avatar
1 votes
1 answer
80
IIT M MS Question
Since given increasing,so $N'(t)>0$ but what will be $N''(t)$ for the slow rate part?
Since given increasing,so $N'(t)>0$ but what will be $N''(t)$ for the slow rate part?
User Avatar
1 votes
2 answers
81
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
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
User Avatar
1 votes
0 answers
82
Maxima and Minima of 2 variable
Is the followIng case is possible rt-s^2 > 0 and r= 0?
Is the followIng case is possible rt-s^2 0 and r= 0?
User Avatar
5 votes
0 answers
85
Maxima-Minima: EC GATE 2014
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $ _____________________
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $_____________________
User Avatar
3 votes
0 answers
86
Maxima-Minima: ME GATE 2015
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$
User Avatar
1 votes
1 answer
89
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?
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?
User Avatar
0 votes
0 answers
90
Maxima Minima
Find the maximum value of f(x). n is a constant f(x)= C(x,2) *$2^{n-x}$
Find the maximum value of f(x). n is a constantf(x)= C(x,2) *$2^{n-x}$
User Avatar
Page: