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Recent questions tagged maxima-minima

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GATE Electrical 2021 | Question: 3
Let $f\left ( x \right )$ be a real-valued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right )> 0$ for all $x \in \left ( 0,1 \right )$ ... $(0,1)$ one local maximum in $(0,1)$ exactly one local minimum in $(0,1)$ two distinct local minima in $(0,1)$

Arjun asked in Calculus Feb 20, 2021

by Arjun

9.3k points

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GATE Electrical 2020 | Question: 26
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\in \left [ -2,0 \right ]$ are respectively, ______. $7$ and $1/4$ $7$ and $1$ $-2$ and $-1/2$ $1$ and $1/4$

go_editor asked in Calculus Feb 28, 2020

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GATE Electrical 2012 | Question: 27
The maximum value of $f(x) = x^3-9x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$

Andrijana3306 asked in Calculus Mar 24, 2018

by Andrijana3306

1.4k points

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4

GATE Electrical 2018 | Question: 43
Let $f(x) = 3x^3-7x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).

Arjun asked in Calculus Feb 19, 2018

by Arjun

9.3k points

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5

GATE Electrical 2014 Set 2 | Question: 28
The minimum value of the function $f(x)=x^3-3x^2-24x+100$ in the interval $[-3,3]$ is $20$ $28$ $16$ $32$

makhdoom ghaya asked in Calculus Feb 12, 2017

by makhdoom ghaya

9.3k points

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GATE Electrical 2014 Set 2 | Question: 3
Minimum of the real valued function $f(x)=(x-1)^{2/3}$ occurs at $x$ equal to $-\infty$ $0$ $1$ $\infty$

makhdoom ghaya asked in Calculus Feb 12, 2017

by makhdoom ghaya

9.3k points

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GATE Electrical 2014 Set 1 | Question: 2
Let $f(x)=xe^{-x}$ . The maximum value of the function in the interval $(0,\infty)$ is $e^{-1}$ $e$ $1-e^{-1}$ $1+e^{-1}$

makhdoom ghaya asked in Calculus Feb 12, 2017

by makhdoom ghaya

9.3k points

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GATE Electrical 2016 Set 1 | Question: 1
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.

makhdoom ghaya asked in Calculus Jan 30, 2017

by makhdoom ghaya

9.3k points

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