Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
teach
pricing
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, AIPMT
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
TN XII Math
>>
Differential Calculus Applications - II
0
votes
Find the differential of the functions.$y$=$4\sqrt{x}$
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q1
q1-2
Share
asked
Apr 24, 2013
by
poojasapani_1
edited
Aug 12, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Toolbox:
Let $y=f(x)$ be a differentiable function then the quantities $dx$ and $dy$ are called differentials.The differential $dx$ is an independent variable.
The differential $dy$ is then defined by $dy=f'(x)dx(dx \approx \Delta x)$
Also $f(x+\Delta x)-f(x)=\Delta y =dy $ from which $f(x+\Delta x) $can be evaluated
Given $ y=4 \sqrt x$
$y=x^{\large\frac{1}{4}}$
$\therefore dy=x^{\Large\frac{-3}{4}}dx$
$\qquad= \large\frac{dx}{x^{\Large\frac{3}{4}}}$
answered
Aug 12, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
Find the differential of the functions. $y$=$\sqrt{x^{4}+x^{2}+1}$
asked
Apr 24, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-3
0
votes
0
answers
Using Euler's theorem prove the following: if $u$ is a homogenous function of $x$ and $y$ of degree$\;n$, prove that$\;x\large\frac{\partial^{2} u}{\partial x^{2}}$+$y\large\frac{\partial^{2}u}{\partial x\partial y}$=$(n-1)\large\frac{\partial u}{\partial x}$
asked
Apr 26, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q5
q5-3
0
votes
1
answer
Find the differential of the functions. $y$=$\large\frac{x-2}{2x+3}$
asked
Apr 24, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-4
0
votes
1
answer
Find the differential of the functions.$y$=$x\tan$$x$
asked
Apr 24, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-6
0
votes
1
answer
Find the differential of the functions. $y$=$\sin$$2x$
asked
Apr 24, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-5
0
votes
0
answers
Using Euler's theorem prove the following: if$\;V=x^{ax+by}$ and $\;z$ is a homogenous function of degree $\;n$ in $\;x$ and $\;y$ prove that $\;x=\large\frac{\partial v}{\partial x}$+$y\large\frac{\partial v}{\partial y}$=$(ax+by+n)V.$
asked
Apr 26, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q5
q5-4
0
votes
0
answers
If$\;u=e^{y}\sin y\frac{x}{y}+e^{y}\cos x \frac{y}{x},$ Show that $x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=o$
asked
Apr 25, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q2
Ask Question
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
AIPMT Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
AIPMT
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...