Home » Ask & Discuss » Physics. » Electricity « Back to Discussion

Electricity

New kid on the Block

Joined:	31 May 2007
Post:	4

31 May 2007 17:16:54 IST

0 People liked this

597

differentiation

None

if g is the inverse function of f and f '(x)=1/1+x⁵then g^'(x) is equal to

Share this article on:

Comments (5)

T RAHUL N THIRUGNANAM

Cool goIITian

Joined: 23 Mar 2007

Posts: 85

31 May 2007 17:21:48 IST

Like 0 people liked this

integrate f'(x) u will get f(x).put f(x)=y and find x in terms of y.replace y with x and differentiate to ge g'(x)

ali khan

New kid on the Block

Joined: 31 May 2007

Posts: 4

31 May 2007 17:28:17 IST

Like 0 people liked this

please solve

T RAHUL N THIRUGNANAM

Cool goIITian

Joined: 23 Mar 2007

Posts: 85

31 May 2007 17:32:44 IST

Like 0 people liked this

first rate me only then i will giv the solution

vizay soni

Blazing goIITian

Joined: 31 May 2007

Posts: 520

31 May 2007 18:17:09 IST

Like 0 people liked this

calculus-> what is d/dx of x!
! means factorial

choice->a)ln x
b)ln x+ln (x-1)+ln (x-2)+.........
c)1
d)none of these

CyBorG

Forum Expert

Joined: 6 Jan 2007

Posts: 706

1 Jun 2007 15:13:18 IST

Like 0 people liked this

Given g is the inverse function of f.

So g(x)=f ^-1(x)

or f(g(x))=x

Now differentiate this wrt x.

ie f '(g(x)) g '(x)=1...................(1)

It is also given that f '(x)=1/(1+x⁵)

So f '(g(x))=1/(1+(g(x))⁵)

Substituing this in (1) we get,

g '(x)/(1+(g(x))⁵)=1

or g '(x)=1+(g(x))⁵

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor

@ INR 1,995/-

For Quick Info

Find Posts by Topics

Physics.

Topics

9393

20091

3672

2186

7616

2826

2636

Mathematics.

Chemistry.

Biology

Institutes

Parents

Board

Fun Zone