Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Webpage for Calculus:
Recent questions tagged calculus
4
votes
1
answer
1
GATE CSE 2024 | Set 2 | Question: 6
Let $f(x)$ be a continuous function from $\mathbb{R}$ to $\mathbb{R}$ such that \[ f(x)=1-f(2-x) \] Which one of the following options is the CORRECT value of $\int_{0}^{2} f(x) d x$ ? $0$ $1$ $2$ $-1$
Arjun
asked
in
Calculus
Feb 16
by
Arjun
1.9k
views
gatecse2024-set2
calculus
definite-integral
1
vote
2
answers
2
GATE CSE 2024 | Set 1 | Question: 1
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function such that $f(x)=\max \left\{x, x^3\right\}, x \in \mathbb{R}$, where $\mathbb{R}$ is the set of all real numbers. The set of all points where $f(x)$ is NOT differentiable is $\{-1,1,2\}$ $\{-2,-1,1\}$ $\{0,1\}$ $\{-1,0,1\}$
Arjun
asked
in
Calculus
Feb 16
by
Arjun
3.2k
views
gatecse2024-set1
calculus
1
vote
2
answers
3
Memory Based GATE DA 2024 | Question: 3
Evaluate the limit: \[ \lim_{{x \to 0}} \frac{\ln \left(\left(x^2+1\right) \cos x\right)}{x^2} \]
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
425
views
gate2024-da-memory-based
goclasses
calculus
limits
numerical-answers
0
votes
1
answer
4
Memory Based GATE DA 2024 | Question: 7
Consider the function \(f(x) = \frac{1}{1+e^{-x}}\). Determine the derivative \(f^{\prime}(x)\) when \(f(x) = 0.4\).
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
265
views
gate2024-da-memory-based
goclasses
calculus
maxima-minima
numerical-answers
1
vote
0
answers
5
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
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
140
views
gate2024-da-memory-based
goclasses
calculus
maxima-minima
0
votes
1
answer
6
Memory Based GATE DA 2024 | Question: 30
Consider the function \( F(x) \) defined as follows: \[ F(x) = \left\{ \begin{array}{cc} -x & \text{if } x < -2 \\ ax^2 + bx + c & \text{if } x \in [-2, 2] \\ x & \text{if } x > 2 \end{ ... \] \noindent Determine the values of \( a, b, \) and \( c \) such that \( F(x) \) is continuous and differentiable over its entire domain.
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
190
views
gate2024-da-memory-based
goclasses
calculus
continuity
0
votes
0
answers
7
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 \(x = -1\)
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
131
views
gate2024-da-memory-based
goclasses
calculus
maxima-minima
7
votes
2
answers
8
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.
GO Classes
asked
in
Calculus
Jan 28
by
GO Classes
770
views
goclasses2024-mockgate-13
goclasses
calculus
maxima-minima
1-mark
3
votes
2
answers
9
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 37
Which of the following is/are TRUE? There is a differentiable function $f(x)$ with the property that $f(1)=-2$ and $f(5)=14$ and $f^{\prime}(x)\lt 3$ for every real number $x$. There exists a function $f$ ... $a\lt c\lt b$ and $f(c)=0$. If $f$ is differentiable at the number $x$, then it is continuous at $x$.
GO Classes
asked
in
Calculus
Jan 21
by
GO Classes
588
views
goclasses2024-mockgate-12
goclasses
calculus
differentiation
multiple-selects
2-marks
3
votes
1
answer
10
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 $x=2$
GO Classes
asked
in
Calculus
Jan 13
by
GO Classes
451
views
goclasses2024-mockgate-11
goclasses
calculus
maxima-minima
1-mark
0
votes
1
answer
11
Thomas Calculus.
Consider the following statements, Statement 1:- $\lim_{x\to c}f(x) = L$ if and only if $\lim_{h \to 0 }f(h-c) = L$. Statement 2:- $\lim_{x\to c}f(x) = L$ if and only if $\lim_{h \to 0 }f(h+c) = L$ ... Statement 2 and Statement 4 are True. B. Statement 1 and Statement 3 are false. C. Statement 2 and Statement 3 are True. D. Statement 1 and Statement 4 are False.
Lakshmi Narayana404
asked
in
Calculus
Jan 11
by
Lakshmi Narayana404
166
views
calculus
limits
0
votes
0
answers
12
GATE 2019 | MATHS | LIMIT
Let $ u_n = \frac{(n!)!}{1 \cdot 3 \cdot 5 \cdots (2n - 1)} $ (the set of all natural numbers). Then $ \lim\limits_{n \to \infty} \frac{n}{u_n} $ is equal to ______________
rajveer43
asked
in
Calculus
Jan 10
by
rajveer43
101
views
calculus
0
votes
0
answers
13
GATE 2022 | MATHS | Q-32
If the function \( f(x, y) = x^2 + xy + y^2 + \frac{1}{x} + \frac{1}{y} \), \( x \neq 0, y \neq 0 \), attains its local minimum value at the point \((a, b)\), then the value of \(a^3 + b^3\) is _________(rounded off to TWO decimal places).
rajveer43
asked
in
Calculus
Jan 10
by
rajveer43
70
views
calculus
0
votes
0
answers
14
Thomas Calculus
Prove that $\lim_{x->5} \frac{1}{x-3} = \frac{1}{2}$, using Epsilon Delta Definition.
Lakshmi Narayana404
asked
in
Calculus
Jan 10
by
Lakshmi Narayana404
52
views
limits
calculus
Page:
1
2
3
4
5
6
...
20
next »
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(683)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
243k
comments
79.7k
users
Recent questions tagged calculus
Recent Blog Comments
Hlo I'm Rupesh I got AIR 3485 in gate CS and AIR...
@Ajay Sasank here is the direct link...
Thank you for the post didi My GATE 2023 & 2024...
I Hope it helps 😊
Today's best post I seen thank you for motivation