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Recent questions tagged differentiation
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TIFR CSE 2022 | Part A | Question: 14
Suppose $w(t)=4 e^{i t}, x(t)=3 e^{i(t+\pi / 3)}, y(t)=3 e^{i(t-\pi / 3)}$ and $z(t)=3 e^{i(t+\pi)}$ are points that move in the complex plane as the time $t$ varies in $(-\infty, \infty)$. Let $c(t)$ ... $\frac{1}{2 \pi}$ $2 \pi$ $\sqrt{3} \pi$ $\frac{1}{\sqrt{3} \pi}$ $1$
Lakshman Patel RJIT
asked
in
Calculus
Sep 1
by
Lakshman Patel RJIT
42
views
tifr2022
calculus
differentiation
0
votes
0
answers
2
Best Open Video Playlist for Differentiability Topic | Calculus
Please list out the best free available video playlist for Differentiability Topic from Calculus as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... standard ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 15
by
makhdoom ghaya
16
views
missing-videos
free-videos
video-links
go-classroom
differentiation
0
votes
1
answer
3
Applied Mathematics Derivative
Please find derivation of the following equation. Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.
kidussss
asked
in
Calculus
Jul 8
by
kidussss
107
views
calculus
differentiation
0
votes
2
answers
4
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
kidussss
asked
in
Calculus
Jul 8
by
kidussss
120
views
calculus
differentiation
0
votes
0
answers
5
TIFR-2016-Maths-A: 4
Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be the function defined by $f\left ( x \right )=\frac{\sin \: x}{\left | x \right |+\cos \: x}$. Then $f$ is differentiable at all $x\in\mathbb{R}$ $f$ is not differentiable at $x=0$ $f$ is differentiable at $x=0$ but ${f}'$ is not continuous at $x=0$ $f$ is not differentiable at $x=\frac{\pi }{2}.$
soujanyareddy13
asked
in
Others
Aug 30, 2020
by
soujanyareddy13
79
views
tifrmaths2016
differentiation
calculus
2
votes
1
answer
6
ISI2014-DCG-13
Let the function $f(x)$ be defined as $f(x)=\mid x-1 \mid + \mid x-2 \:\mid$. Then which of the following statements is true? $f(x)$ is differentiable at $x=1$ $f(x)$ is differentiable at $x=2$ $f(x)$ is differentiable at $x=1$ but not at $x=2$ none of the above
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
358
views
isi2014-dcg
calculus
differentiation
0
votes
1
answer
7
ISI2014-DCG-29
If $f(x) = \sin \bigg( \dfrac{1}{x^2+1} \bigg),$ then $f(x)$ is continuous at $x=0$, but not differentiable at $x=0$ $f(x)$ is differentiable at $x=0$, and $f’(0) \neq 0$ $f(x)$ is differentiable at $x=0$, and $f’(0) = 0$ None of the above
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
437
views
isi2014-dcg
calculus
continuity
differentiation
0
votes
1
answer
8
ISI2014-DCG-49
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} - \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
346
views
isi2014-dcg
calculus
differentiation
functions
0
votes
1
answer
9
ISI2015-MMA-69
Consider the function $f(x) = \begin{cases} \int_0^x \{5+ \mid 1-y \mid \} dy & \text{ if } x>2 \\ 5x+2 & \text{ if } x \leq 2 \end{cases}$ Then $f$ is not continuous at $x=2$ $f$ is continuous and differentiable everywhere $f$ is continuous everywhere but not differentiable at $x=1$ $f$ is continuous everywhere but not differentiable at $x=2$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
491
views
isi2015-mma
calculus
continuity
differentiation
definite-integral
non-gate
0
votes
1
answer
10
ISI2015-MMA-72
The map $f(x) = a_0 \cos \mid x \mid +a_1 \sin \mid x \mid +a_2 \mid x \mid ^3$ is differentiable at $x=0$ if and only if $a_1=0$ and $a_2=0$ $a_0=0$ and $a_1=0$ $a_1=0$ $a_0, a_1, a_2$ can take any real value
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
298
views
isi2015-mma
calculus
differentiation
0
votes
0
answers
11
ISI2015-MMA-73
$f(x)$ is a differentiable function on the real line such that $\underset{x \to \infty=}{\lim} f(x) =1$ and $\underset{x \to \infty=}{\lim} f’(x) =\alpha$. Then $\alpha$ must be $0$ $\alpha$ need not be $0$, but $\mid \alpha \mid <1$ $\alpha >1$ $\alpha < -1$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
257
views
isi2015-mma
calculus
limits
differentiation
0
votes
1
answer
12
ISI2015-MMA-74
Let $f$ and $g$ be two differentiable functions such that $f’(x)\leq g’(x)$for all $x<1$ and $f’(x) \geq g’(x)$ for all $x>1$. Then if $f(1) \geq g(1)$, then $f(x) \geq g(x)$ for all $x$ if $f(1) \leq g(1)$, then $f(x) \leq g(x)$ for all $x$ $f(1) \leq g(1)$ $f(1) \geq g(1)$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
270
views
isi2015-mma
calculus
differentiation
0
votes
1
answer
13
ISI2015-DCG-57
Let $y=\lfloor x \rfloor$, where $\lfloor x \rfloor$ is greatest integer less than or equal to $x$. Then $y$ is continuous and many-one $y$ is not differentiable and many-one $y$ is not differentiable $y$ is differentiable and many-one
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
231
views
isi2015-dcg
calculus
continuity
differentiation
0
votes
0
answers
14
ISI2016-DCG-58
Let $y=\left \lfloor x \right \rfloor$ where $\left \lfloor x \right \rfloor$ is greatest integer less than or equal to $x$. Then $y$ is continuous and many-one. $y$ is not differentiable and many-one. $y$ is not differentiable. $y$ is differentiable and many-one.
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
170
views
isi2016-dcg
calculus
continuity
differentiation
functions
1
vote
2
answers
15
ISI2017-DCG-30
If $f(x)=e^{5x}$ and $h(x)=f’’(x)+2f’(x)+f(x)+2$ then $h(0)$ equals $38$ $8$ $4$ $0$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
195
views
isi2017-dcg
calculus
differentiation
functions
2
votes
1
answer
16
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
405
views
isi2018-dcg
calculus
functions
differentiation
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Recent questions tagged differentiation
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