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Recent questions tagged differentiation
2
votes
1
answer
31
ISI2018-DCG-9
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
416
views
isi2018-dcg
calculus
functions
differentiation
1
vote
1
answer
32
ISI2018-DCG-10
Let $f’(x)=4x^3-3x^2+2x+k,$ $f(0)=1$ and $f(1)=4.$ Then $f(x)$ is equal to $4x^4-3x^3+2x^2+x+1$ $x^4-x^3+x^2+2x+1$ $x^4-x^3+x^2+2(x+1)$ none of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
251
views
isi2018-dcg
calculus
differentiation
polynomials
0
votes
1
answer
33
ISI2018-DCG-24
Let $[x]$ denote the largest integer less than or equal to $x.$ The number of points in the open interval $(1,3)$ in which the function $f(x)=a^{[x^2]},a\gt1$ is not differentiable, is $0$ $3$ $5$ $7$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
246
views
isi2018-dcg
calculus
differentiation
0
votes
0
answers
34
ISI2018-DCG-29
Let $f(x)=(x-1)(x-2)(x-3)g(x); \: x\in \mathbb{R}$ where $g$ is twice differentiable function. Then there exists $y\in(1,3)$ such that $f’’(y)=0.$ there exists $y\in(1,2)$ such that $f’’(y)=0.$ there exists $y\in(2,3)$ such that $f’’(y)=0.$ none of the above is true.
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
238
views
isi2018-dcg
calculus
differentiation
0
votes
1
answer
35
Gate 2002 - ME
Which of the following functions is not differentiable in the domain $[-1,1]$ ? (a) $f(x) = x^2$ (b) $f(x) = x-1$ (c) $f(x) = 2$ (d) $f(x) = Maximum (x,-x)$
balchandar reddy san
asked
in
Calculus
May 4, 2019
by
balchandar reddy san
1.9k
views
engineering-mathematics
usergate2002
usermod
calculus
differentiation
1
vote
1
answer
36
Applied Course | Mock GATE | Test 1 | Question: 11
The value of derivative of $f(x) = \mid x -1 \mid + \mid x -3 \mid \text{ at } x = 2$ is $-2$ $0$ $2$ Not defined
Applied Course
asked
in
Calculus
Jan 16, 2019
by
Applied Course
493
views
applied-course-2019-mock1
calculus
differentiation
0
votes
0
answers
37
Testbook Test Series: Calculus - Differentiability
If $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ , with boundary conditions $y=8$ at $x=0$ and $dy/dx =4$ at $x=16$, Find the value of $f(-2)$ When they say, $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ What does that mean?
shreyansh jain
asked
in
Mathematical Logic
Dec 18, 2018
by
shreyansh jain
219
views
testbook-test-series
differentiation
calculus
1
vote
0
answers
38
NIELIT 2018-19
If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to: $x+y+z$ $1+x+y+z$ $1$ $0$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
478
views
nielit-2018
non-gate
differentiation
partial-order
1
vote
0
answers
39
NIELIT 2018-23
If $w=f(z)=u(x,y)+i \: v(x,y)$ is an analytic function, then $\frac{dw}{dz}$ is: $\frac{ \partial u } {\partial x}- i \frac{ \partial u}{\partial y}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial v}{\partial y}$ $\frac{ \partial u } {\partial x}- i \frac{ \partial v}{\partial x}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial u}{\partial y}$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
1.0k
views
nielit-2018
non-gate
differentiation
partial-order
0
votes
0
answers
40
ISI2017-PCB-A-4
Let $\lceil x \rfloor$ denote the integer nearest to $x$. For example, $\lceil 1.1 \rfloor =1, \lceil 1.5 \rfloor =1$ and $\lceil 1.6 \rfloor$ =2. Draw the graph of the function $y= \mid x - \lceil x \rfloor \mid$ for $0 \leq x \leq 4$. Find all the points $x, \: 0 \leq x \leq 4$, where the function is not differentiable. Justify your answer.
go_editor
asked
in
Calculus
Sep 19, 2018
by
go_editor
146
views
isi2017-pcb-a
differentiation
0
votes
0
answers
41
ISI2017-MMA-13
An even function $f(x)$ has left derivative $5$ at $x=0$. Then the right derivative of $f(x)$ at $x=0$ need not exist the right derivative of $f(x)$ at $x=0$ exists and is equal to $5$ the right derivative of $f(x)$ at $x=0$ exists and equal to $-5$ none of the above is necessarily true
go_editor
asked
in
Quantitative Aptitude
Sep 15, 2018
by
go_editor
295
views
isi2017-mma
engineering-mathematics
calculus
differentiation
2
votes
2
answers
42
ISI2016-MMA-8
Let $g: \mathbb{R} \rightarrow \mathbb{R}$ be differentiable with $g'(x^2)=x^3$ for all $x>0$ and $g(1) =1$. Then $g(4)$ equals $64/5$ $32/5$ $37/5$ $67/5$
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
494
views
isi2016-mmamma
calculus
differentiation
0
votes
0
answers
43
ISI2016-MMA-24
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one the following is always true? The limits $\lim_{x \rightarrow a+} f(x) $ and $\lim_{x \rightarrow a-} f(x)$ exist for all real numbers $a$ If $f$ is differentiable at $a$ then ... such that $f(x)<B$ for all real $x$ There cannot be any real number $L$ such that $f(x)>L$ for all real $x$
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
266
views
isi2016-mmamma
calculus
continuity
differentiation
limits
1
vote
0
answers
44
ISI2016-MMA-26
Let $x$ and $y$ be real numbers satisfying $9x^2+16y^2=1$. Then $(x+y)$ is maximum when $y=9x/16$ $y=-9x/16$ $y=4x/3$ $y=-4x/3$
go_editor
asked
in
Others
Sep 13, 2018
by
go_editor
161
views
isi2016-mma
differentiation
non-gate
2
votes
2
answers
45
ISI2016-MMA-27
Consider the function $f(x) = \dfrac{e^{- \mid x \mid}}{\text{max}\{e^x, e^{-x}\}}, \: \: x \in \mathbb{R}$. Then $f$ is not continuous at some points $f$ is continuous everywhere, but not differentiable anywhere $f$ is continuous everywhere, but not differentiable at exactly one point $f$ is differentiable everywhere
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
288
views
isi2016-mmamma
calculus
continuity
differentiation
0
votes
0
answers
46
Differentiable
Why is a function not differentiable at x=k when f'(x) limits to infinity? Limit can be infinite too?
bts
asked
in
Mathematical Logic
Jun 25, 2018
by
bts
265
views
calculus
differentiation
continuity
engineering-mathematics
3
votes
3
answers
47
ISI2017-MMA-13
An even function $f(x)$ has left derivative $5$ at $x=0$. Then the right derivative of $f(x)$ at $x=0$ need not exist the right derivative of $f(x)$ at $x=0$ exists and is equal to $5$ the right derivative of $f(x)$ at $x=0$ exists and is equal to $-5$ none of the above is necessarily true
jjayantamahata
asked
in
Calculus
Mar 27, 2018
by
jjayantamahata
1.6k
views
isi2017-mma
engineering-mathematics
calculus
differentiation
3
votes
1
answer
48
Mathematics GATE 2018 EE: 11
Let $f$ be a real-valued function of a real variable defined as $f(x) = x^{2}$ for $x\geq0$ and $f(x) = -x^{2}$ for $x < 0$.Which one of the following statements is true? $f(x) \text{is discontinuous at x = 0}$ ... $f(x) \text{is differentiable but its first derivative is not differentiable at x = 0} $
Lakshman Patel RJIT
asked
in
Calculus
Feb 21, 2018
by
Lakshman Patel RJIT
2.6k
views
gate2018-ee
engineering-mathematics
calculus
continuity
differentiation
1
vote
1
answer
49
MadeEasy Test Series: Calculus - Differentiability
At the point x = 1, the function
Kuldeep Pal
asked
in
Calculus
Jan 6, 2018
by
Kuldeep Pal
268
views
made-easy-test-series
calculus
differentiation
continuity
3
votes
1
answer
50
TIFR CSE 2018 | Part A | Question: 5
Which of the following is the derivative of $f(x)=x^{x}$ when $x>0$ ? $x^{x}$ $x^{x} \ln \;x$ $x^{x}+x^{x}\ln\;x$ $(x^{x}) (x^{x}\ln\;x)$ $\text{None of the above; function is not differentiable for }x>0$
Arjun
asked
in
Calculus
Dec 10, 2017
by
Arjun
1.0k
views
tifr2018
calculus
differentiation
0
votes
0
answers
51
Calculus
#Calculus Let f(x)= |x|^3/2, x€R then A.f is uniformly continuous B.f is Continous but not differentiable ar x=0 C. f is differentiable and f' is continuous D. f is differentiable but f' is discontinuous at x=0 What is the answer and how to solve this kind of questions? My Answer is option D , I want to confirm if my reasoning to this question is correct as im learning calculus now.
MancunianDevil
asked
in
Calculus
Apr 19, 2017
by
MancunianDevil
587
views
calculus
imits
continuity
differentiation
3
votes
0
answers
52
differentiable
The function is defined as follows. Which of the following is true? (A) f is discontinuous at all (B) f is continuous only at x = 0 and differentiable only at x = 0. (C) f is continuous only at x=0 and non differentiable at all (D) f is continuous at all and non differentiable at all
firki lama
asked
in
Calculus
Mar 1, 2017
by
firki lama
567
views
differentiation
continuity
calculus
1
vote
2
answers
53
ISRO2012-ECE Engineering Mathematics
$1-x$ $(1-x)/x$ $1/x$ $x/(1-x)$
sh!va
asked
in
Calculus
Feb 28, 2017
by
sh!va
329
views
engineering-mathematics
isro2012-ece
isro-ece
calculus
differentiation
23
votes
2
answers
54
GATE CSE 2017 Set 2 | Question: 10
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are $\frac{2}{\pi}$ and $\frac{16}{\pi}$ $\frac{2}{\pi}$ and 0 $\frac{4}{\pi}$ and 0 $\frac{4}{\pi}$ and $\frac{16}{\pi}$
Madhav
asked
in
Calculus
Feb 14, 2017
by
Madhav
6.5k
views
gatecse-2017-set2
engineering-mathematics
calculus
differentiation
14
votes
2
answers
55
TIFR CSE 2017 | Part A | Question: 9
Consider the $majority$ function on three bits, $\textbf{maj}: \{0, 1\}^3 \rightarrow \{0, 1\}$ where $\textbf{maj}(x_1, x_2, x_3)=1$ if and only if $x_1+x_2+x_3 \geq 2$. Let $p(\alpha)$ be the probability that the output is $1$ when each input is set to ... $3 \alpha$ $\alpha^2$ $6\alpha(1-\alpha)$ $3\alpha^2 (1-\alpha)$ $6\alpha(1-\alpha)+\alpha^2$
go_editor
asked
in
Probability
Dec 21, 2016
by
go_editor
1.0k
views
tifr2017
probability
independent-events
differentiation
0
votes
1
answer
56
Diffrentiability+Limits
how to solve diffrentiability with standard procedure of f(a+h).
Rahul Jain25
asked
in
Calculus
Dec 9, 2016
by
Rahul Jain25
488
views
calculus
engineering-mathematics
differentiation
5
votes
1
answer
57
ISRO2011-59
$n$-th derivative of $x^n$ is $nx^{n-1}$ $n^n.n!$ $nx^n!$ $n!$
go_editor
asked
in
Calculus
Jun 23, 2016
by
go_editor
1.7k
views
isro2011
calculus
differentiation
30
votes
5
answers
58
GATE CSE 2016 Set 2 | Question: 02
Let $f(x)$ be a polynomial and $g(x)=f'(x)$ be its derivative. If the degree of $(f(x)+f(-x))$ is $10$, then the degree of $(g(x) - g(-x))$ is __________.
Akash Kanase
asked
in
Calculus
Feb 12, 2016
by
Akash Kanase
8.1k
views
gatecse-2016-set2
calculus
normal
numerical-answers
differentiation
2
votes
1
answer
59
MadeEasy Test Series: Calculus - Differentiability
Q.64 A function f (x) is differentiated twice such that its differential equation λ2f (x) – 2λf ′(x) + f ′′(x) = 0 provides two equal value of λ for all x. It f (0) = 1, f′(0) = 2, then f(x) at x = 1 will be _________. Given ans -> 7.39 (7.00 - 7.80)
Akash Kanase
asked
in
Calculus
Dec 19, 2015
by
Akash Kanase
360
views
made-easy-test-series
calculus
differentiation
3
votes
1
answer
60
TIFR-2015-Maths-A-5
Let $f : \mathbb{R} \rightarrow \mathbb{R}$ denote the function defined by $f(x)= (1-x^{2})^{\frac{3}{2}}$ if $|x| < 1$, and $f(x)=0$ if $|x| \geq 1$. Which of the following statements is correct ? $f$ is not continuous $f$ is continuous but not differentiable $f$ is differentiable but $f'$ is not continuous. $f$ is differentiable and $f'$ is continuous.
makhdoom ghaya
asked
in
Calculus
Dec 19, 2015
by
makhdoom ghaya
435
views
tifrmaths2015
continuity
differentiation
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Recent questions tagged differentiation
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