physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Ask & Discuss Questions with Community & Experts

 Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: diffrentiate wrt to x.........
Forum Index -> Differential Calculus like the article? email it to a friend.  
Author Message
[Post New]17 Apr 2008 17:01:28 IST
    Subject: diffrentiate wrt to x.........
[Up] View Post
zeeshanp (131)

Scorching goIITian

Olaaa!! Perrrfect answer. 23  [31 rates]
zeeshanp's Avatar
total posts: 291    
offline Offline
tan-1(sqrt(1+ x2) - 1)
...............x
       



da this things inside da tan inverse operation is divided by x...........what shud i substitute x for  to get da answer?

pls dont read da dots also............
i can feel the light betray me...............
not a single second left..........
    
[Post New]17 Apr 2008 17:15:01 IST
    Subject: Re:diffrentiate wrt to x.........
[Up] View Post
sboosy (2970)

Blazing goIITian

Olaaa!! Perrrfect answer. 522  [702 rates]
sboosy's Avatar
total posts: 498    
offline Offline
\tan^{-1}(\frac{\sqrt{1+x^2}-1}{x}) \\ \\ \mbox{Put x} = \tan(\theta) \\ \\ \mbox{We get} \ \tan^{-1}(\frac{\sec(\theta)-1}{\tan(\theta)}) = \tan^{-1}(\frac{1-\cos(\theta)}{\sin(\theta)}) \\ \\ =\tan^{-1}(\frac{2\sin^2(\frac{\theta}{2})}{2\sin(\frac{\theta}{2})\cos(\frac{\theta}{2})}) = \tan^{-1} (\tan(\frac{\theta}{2})) = \frac{\theta}{2} \\ \\ =\frac{1}{2} \tan^{-1}x \\ \\ \mbox{Differentiating with respect to x we get} \\ \\ \frac{1}{2(1+x^2)}
 this reply: 22 points  (with 4 Olaaa!! Perrrfect answer.   in 5 votes )   [?]
 
You have to be logged on to rate
  
[Post New]17 Apr 2008 17:20:49 IST
    Subject: diffrentiate wrt to x.........
[Up] View Post
sriram.a (208)

Hot goIITian

Olaaa!! Perrrfect answer. 32  [56 rates]
sriram.a's Avatar
total posts: 148    
offline Offline
yes your ans is correct
<SRIRAM.A> on high way of IIT
<SRIRAM>About to conquer the WORLD..................
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Differential Calculus
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya