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Recent questions tagged maxima-minima
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GATE ECE 2019 | Question: 26
Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(-1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the following inequalities is necessarily true for all $x \in[-2,2]?$ $f(x)\leq \frac{1}{2} \mid x+1 \mid$ $f(x)\leq 2 \mid x+1 \mid $ $f(x)\leq \frac{1}{2} \mid x \mid$ $f(x)\leq 2 \mid x \mid$
Arjun
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Calculus
Feb 12, 2019
by
Arjun
6.0k
points
121
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gate2019-ec
calculus
maxima-minima
0
votes
0
answers
2
GATE ECE 2016 Set 2 | Question: 3
As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$ $f(x)$ increases monotonically. $f(x)$ increases, then decreases and increases again. $f(x)$ decreases, then increases and decreases again. $f(x)$ increases and then decreases.
Milicevic3306
asked
in
Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
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gate2016-ec-2
calculus
maxima-minima
0
votes
0
answers
3
GATE ECE 2014 Set 4 | Question: 29
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the angle between the hypotenuse and the side is $12^{\circ}$ $36^{\circ}$ $60^{\circ}$ $45^{\circ}$
Milicevic3306
asked
in
Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
39
views
gate2014-ec-4
calculus
maxima-minima
0
votes
0
answers
4
GATE ECE 2014 Set 3 | Question: 1
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
Milicevic3306
asked
in
Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
47
views
gate2014-ec-3
calculus
maxima-minima
numerical-answers
0
votes
0
answers
5
GATE ECE 2014 Set 3 | Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
Milicevic3306
asked
in
Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
44
views
gate2014-ec-3
calculus
maxima-minima
numerical-answers
0
votes
0
answers
6
GATE ECE 2014 Set 2 | Question: 3
For $0 \leq t < \infty ,$ the maximum value of the function $f(t)= e^{-t}-2e^{-2t}$ occurs at $t= log_{e}4$ $t= log_{e}2$ $t= 0$ $t= log_{e}8$
Milicevic3306
asked
in
Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
41
views
gate2014-ec-2
calculus
maxima-minima
0
votes
0
answers
7
GATE ECE 2012 | Question: 46
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$
Milicevic3306
asked
in
Calculus
Mar 25, 2018
by
Milicevic3306
15.8k
points
34
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gate2012-ec
calculus
maxima-minima
0
votes
0
answers
8
GATE ECE 2017 Set 2 | Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
admin
asked
in
Calculus
Nov 23, 2017
by
admin
32.7k
points
77
views
gate2017-ec-2
numerical-answers
calculus
maxima-minima
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