Recent questions tagged maxima-minima / GATE Overflow for GATE CSE

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Memory Based GATE DA 2024 | Question: 7
Consider the function $f(x) = \frac{1}{1+e^{-x}}$. Determine the derivative $f^{\prime}(x)$ when $f(x) = 0.4$.

Consider the function $f(x) = \frac{1}{1+e^{-x}}$. Determine the derivative $f^{\prime}(x)$ when $f(x) = 0.4$.

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GO Classes asked Feb 4

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2

Memory Based GATE DA 2024 | Question: 28
Consider a function $f$ with $f^1(X^*) = 0$ and $f^{1l}(X^*) > 0$. Based on these conditions, determine the nature of the critical point $X^*$ for the function $f(X)$. $X^*$ is a local maximum $X^*$ is a local minimum $X^*$ is a global maximum $X^*$ is a global minimum

Consider a function $f$ with $f^1(X^*) = 0$ and $f^{1l}(X^*) 0$. Based on these conditions, determine the nature of the critical point $X^*$ for the function \(f...

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GO Classes asked Feb 4

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3

Memory Based GATE DA 2024 | Question: 52
Consider the function $f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2}$. Which of the following statements about the critical points of $f(x)$ are correct? Local minima at $x = 0$ Local maxima at $x = 0$ Local minima at $x = 3$ Local minima at $x = -1$

Consider the function $f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2}$.Which of the following statements about the critical points of $f(x)$ are correct?Local...

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GO Classes asked Feb 4

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4

madeeasy
plz explain option c

plz explain option c

nihal_chourasiya

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nihal_chourasiya asked Feb 1

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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 11
Let $f(x)$ be a real-valued function all of whose derivatives exist. Recall that a point $x_0$ in the domain is called an inflection point of $f(x)$ if the second derivative $f^{\prime \prime}(x)$ changes sign at ... only inflection point. $x_0=0$ and $x_0=6$, both are inflection points. The function does not have an inflection point.

Let $f(x)$ be a real-valued function all of whose derivatives exist. Recall that a point $x_0$ in the domain is called an inflection point of $f(x)$ if the second derivat...

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GO Classes asked Jan 28

3 votes

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GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 31
If $f, f^{\prime}$, and $f^{\prime \prime}$ are continuous and $f(2)=0, f^{\prime}(2)=2$, and $f^{\prime \prime}(2)=-3$, what can we say about the function $f(x)$ at $x=2?$ $f$ has a local minimum at $x=2$. $f$ has a local maximum at $x=2$. $f$ is increasing, at $x=2$ $f$ is decreasing, at $x=2$

If $f, f^{\prime}$, and $f^{\prime \prime}$ are continuous and $f(2)=0, f^{\prime}(2)=2$, and $f^{\prime \prime}(2)=-3$, what can we say about the function $f(x)$ at $x=2...

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GO Classes asked Jan 13

2 votes

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GO Classes 2023 | IIITH Mock Test 1 | Question: 62
The expression $\dfrac{(x+y) - |x-y|}{2}$ is equal to : The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above

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

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GO Classes asked Mar 26, 2023

8 votes

2 answers

8

GATE CSE 2023 | Question: 18
Let $\qquad f(x)=x^{3}+15 x^{2}-33 x-36$ be a real-valued function. Which of the following statements is/are $\text{TRUE}?$ $f(x)$ does not have a local maximum. $f(x)$ has a local maximum. $f(x)$ does not have a local minimum. $f(x)$ has a local minimum.

Let $$\qquad f(x)=x^{3}+15 x^{2}-33 x-36$$be a real-valued function.Which of the following statements is/are $\text{TRUE}?$$f(x)$ does not have a local maximum.$f(x)$ has...

admin

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admin asked Feb 15, 2023

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9

GATE CSE 2023 | Memory Based Question: 11
Let $f(x)=x^3+15 x^2-33 x-36$ be a real valued function. Which statement is/are TRUE? $f(x)$ has a local maximum. $f(x)$ does NOT have a local maximum. $f(x)$ has a local minimum. $f(x)$ does NOT have a local minimum.

Let $f(x)=x^3+15 x^2-33 x-36$ be a real valued function. Which statement is/are TRUE?$f(x)$ has a local maximum.$f(x)$ does NOT have a local maximum.$f(x)$ has a local mi...

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GO Classes asked Feb 5, 2023

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