info@clay6.com
+91-9566306857
(or)
+91-9176170648
Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
NEET
Physics
Chemistry
Biology - XII
Biology - XI
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
NEET
Physics
Chemistry
Biology - XII
Biology - XI
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
TN XII Math
>>
Differential Calculus Applications - II
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\cos$$x,x=\large\frac{\pi}{6},$$dx=0.05$
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
p79
q2
q2-5
Share
asked
Apr 24, 2013
by
poojasapani_1
edited
Aug 12, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
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
Step 1:
$y=\cos x $
$dy= -\sin x dx$
Step 2:
When $x=\large\frac{\pi}{6},$$ dx= 0.05$
$dy=-\sin \large\frac{\pi}{6} $$\times 0.05$
$\quad=\large\frac{-1}{2} $$\times 0.05$
$\quad=-0.025$
answered
Aug 12, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\sqrt{1-x},x=0,dx=0.02$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=(x^{2}+5)^{3},x=1,dx=0.1$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y$=$x^{4}-3x^{2}+x-1,x$$=2,dx$$=0.1$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers\[\]$y=3\sqrt{1.02}+4\sqrt{1.02}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers $(1.97)^{6}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers $\large\frac{1}{10.1}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
...
close