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Recent questions tagged differentiability
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1
Gate 2002  ME
Which of the following functions is not differentiable in the domain $[1,1]$ ? (a) $f(x) = x^2$ (b) $f(x) = x1$ (c) $f(x) = 2$ (d) $f(x) = Maximum (x,x)$
asked
May 4
in
Calculus
by
balchandar reddy san
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3k
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45
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engineeringmathematics
usergate2002
usermod
calculus
differentiability
0
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0
answers
2
GATE EE 2018
asked
Dec 18, 2018
in
Calculus
by
aditi19
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3.5k
points)

67
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gate2018analysis
engineeringmathematics
calculus
continuity
differentiability
0
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0
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3
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?
asked
Dec 18, 2018
in
Mathematical Logic
by
shreyansh jain
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2.2k
points)

59
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testbooktestseries
differentiability
calculus
0
votes
0
answers
4
ISI2017MMA13
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
asked
Sep 15, 2018
in
Numerical Ability
by
jothee
Veteran
(
116k
points)

11
views
isi2017
engineeringmathematics
calculus
differentiability
0
votes
1
answer
5
NIELIT2017 STAsetc119
The function $f(x)=\frac{x^2 1}{x1}$ at $x=1$ is: (A) Continuous and Differentiable (B) Continuous but not Differentiable (C) Differentiable but not Continuous (D) Neither Continuous nor Differentiable
asked
Aug 31, 2018
in
Graph Theory
by
habedo007
Active
(
2.4k
points)

97
views
nielitjuly2017
continuity
differentiability
0
votes
0
answers
6
Differentiable
Why is a function not differentiable at x=k when f'(x) limits to infinity? Limit can be infinite too?
asked
Jun 25, 2018
in
Mathematical Logic
by
bts
(
159
points)

60
views
calculus
differentiability
continuity
engineeringmathematics
+2
votes
2
answers
7
ISI2017MMA13
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
asked
Mar 27, 2018
in
Calculus
by
jjayantamahata
Active
(
1.8k
points)

217
views
isi2017
engineeringmathematics
calculus
differentiability
+2
votes
1
answer
8
GATE 2018 Maths  11(Electrical Engineering)
Let $f$ be a realvalued 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} $
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
36.3k
points)

328
views
gate2018ee
engineeringmathematics
calculus
continuity
differentiability
+1
vote
1
answer
9
MadeEasy Test Series: Calculus  Differentiability
At the point x = 1, the function
asked
Jan 6, 2018
in
Calculus
by
Kuldeep Pal
Active
(
1.5k
points)

47
views
madeeasytestseries
calculus
differentiability
continuity
0
votes
0
answers
10
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.
asked
Apr 19, 2017
in
Calculus
by
MancunianDevil
(
17
points)

242
views
calculus
#limits
limits
continuity
differentiability
+3
votes
1
answer
11
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
asked
Mar 1, 2017
in
Calculus
by
firki lama
Junior
(
917
points)

212
views
differentiability
continuity
calculus
+12
votes
3
answers
12
GATE2017210
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S. f’(\frac{1}{2}) = \sqrt{2}$ 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 $\frac{16}{\pi}$
asked
Feb 14, 2017
in
Calculus
by
Madhav
Active
(
1.7k
points)

2.3k
views
gate20172
engineeringmathematics
calculus
differentiability
+1
vote
1
answer
13
Maths: Limits Que03
given answer is (B) why continuous and differential on 0 ONLY?
asked
Jan 28, 2017
in
Calculus
by
Vijay Thakur
Boss
(
17.3k
points)

322
views
engineeringmathematics
calculus
differentiability
continuity
0
votes
1
answer
14
Diffrentiability+Limits
how to solve diffrentiability with standard procedure of f(a+h).
asked
Dec 9, 2016
in
Calculus
by
Rahul Jain25
Boss
(
11.7k
points)

226
views
calculus
engineeringmathematics
differentiability
+16
votes
4
answers
15
GATE2016202
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 __________.
asked
Feb 12, 2016
in
Calculus
by
Akash Kanase
Boss
(
43.6k
points)

3k
views
gate20162
calculus
normal
numericalanswers
differentiability
+2
votes
1
answer
16
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)
asked
Dec 19, 2015
in
Calculus
by
Akash Kanase
Boss
(
43.6k
points)

145
views
madeeasytestseries
calculus
differentiability
+3
votes
1
answer
17
TIFR2015MathsA5
Let $f : \mathbb{R} \rightarrow \mathbb{R}$ denote the function defined by $f(x)= (1x^{2})^{\frac{3}{2}}$ 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.
asked
Dec 19, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

178
views
tifrmaths2015
continuity
differentiability
+2
votes
1
answer
18
TIFR2014MathsA3
Let $f: \mathbb{R} \to \mathbb{R}$ be a differentiable function such that $\displaystyle \lim_{x \to +\infty} f'(x)=1$, then $f$ is bounded $f$ is increasing $f$ is unbounded $f'$ is bounded.
asked
Dec 10, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

160
views
tifrmaths2014
differentiability
+1
vote
0
answers
19
TIFR2011MathsA19
The derivative of the function $\int_{0}^{\sqrt{x}} e^{t^{2}}dt$ at $x = 1$ is $e^{1}$ .
asked
Dec 9, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

132
views
tifrmaths2011
calculus
differentiability
+1
vote
1
answer
20
TIFR2011MathsA9
The function $f(x)$ defined by $f(x) = \begin{cases} ax+b & \text{x ≥ 1 } \\ x^{2}+3x+3& \text{x ≤ 1} \end{cases}$ is differentiable For a unique value of a and infinitely many values of $b$. For a unique value of $b$ and infinitely many values of $a$. For infinitely many values of $a$ and $b$. None of the above.
asked
Dec 9, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

128
views
tifrmaths2011
differentiability
+2
votes
1
answer
21
TIFR2011MathsA5
The differential equation $\frac{dy}{dx}= y^{1/3}, y(0)=0$ has A unique solution No nontrivial solution Finite number of solutions. Infinite number of solutions.
asked
Dec 9, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

120
views
tifrmaths2011
differentiability
nongate
+4
votes
3
answers
22
TIFR2010MathsA8
Let $f(x)= x^{3/2}, x \in \mathbb{R}$. Then $f$ is uniformly continuous. $f$ is continuous, but not differentiable at $x=0$. $f$ is differentiable and $f ' $ is continuous. $f$ is differentiable, but $f ' $ is discontinuous at $x=0$.
asked
Oct 11, 2015
in
Calculus
by
makhdoom ghaya
Boss
(
41.2k
points)

395
views
tifrmaths2010
calculus
differentiability
continuity
+13
votes
2
answers
23
GATE19963
Let $f$ be a function defined by $f(x) = \begin{cases} x^2 &\text{ for }x \leq 1\\ ax^2+bx+c &\text{ for } 1 < x \leq 2 \\ x+d &\text{ for } x>2 \end{cases}$ Find the values for the constants $a$, $b$, $c$ and $d$ so that $f$ is continuous and differentiable everywhere on the real line.
asked
Oct 9, 2014
in
Calculus
by
Kathleen
Veteran
(
59.9k
points)

1.1k
views
gate1996
calculus
continuity
differentiability
normal
descriptive
+11
votes
2
answers
24
GATE19961.6
The formula used to compute an approximation for the second derivative of a function $f$ at a point $X_0$ is $\dfrac{f(x_0 +h) + f(x_0 – h)}{2}$ $\dfrac{f(x_0 +h)  f(x_0 – h)}{2h}$ $\dfrac{f(x_0 +h) + 2f(x_0) + f(x_0 – h)}{h^2}$ $\dfrac{f(x_0 +h)  2f(x_0) + f(x_0 – h)}{h^2}$
asked
Oct 9, 2014
in
Calculus
by
Kathleen
Veteran
(
59.9k
points)

1.2k
views
gate1996
calculus
differentiability
normal
+8
votes
4
answers
25
GATE2014146
The function $f(x) =x \sin x$ satisfies the following equation: $f''(x) + f(x) +t \cos x = 0$. The value of $t$ is______.
asked
Sep 28, 2014
in
Calculus
by
jothee
Veteran
(
116k
points)

1.1k
views
gate20141
calculus
easy
numericalanswers
differentiability
+19
votes
2
answers
26
GATE201416
Let the function ... There exists $\theta \in (\frac{\pi}{6},\frac{\pi}{3})$ such that $f'(\theta)\neq 0$ I only II only Both I and II Neither I Nor II
asked
Sep 26, 2014
in
Calculus
by
jothee
Veteran
(
116k
points)

3.5k
views
gate20141
calculus
differentiability
normal
+5
votes
4
answers
27
GATE19981.4
Consider the function $y=x$ in the interval $[1, 1]$. In this interval, the function is continuous and differentiable continuous but not differentiable differentiable but not continuous neither continuous nor differentiable
asked
Sep 26, 2014
in
Calculus
by
Kathleen
Veteran
(
59.9k
points)

916
views
gate1998
calculus
continuity
differentiability
easy
+7
votes
2
answers
28
GATE20071
Consider the following two statements about the function $f(x)=\left\vert x\right\vert$: P. $f(x)$ is continuous for all real values of $x$. Q. $f(x)$ is differentiable for all real values of $x$ . Which of the following is TRUE? $P$ is true and $Q$ is false. $P$ is false and $Q$ is true. Both $P$ and $Q$ are true. Both $P$ and $Q$ are false.
asked
Sep 22, 2014
in
Calculus
by
Kathleen
Veteran
(
59.9k
points)

1.3k
views
gate2007
calculus
continuity
differentiability
easy
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