|

Functional Equation shortcuts

Cool goIITian

Posted on
10 Nov 2007 18:49:36 IST
Posts: 46
10 Nov 2007 18:49:36 IST
0 people liked this
5
851
Functional Equation shortcuts
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Integral Calculus

Do not waste your time in derivation every time and use these ones for making problems faster. Learn them.I hope they will be useful. If you like these and want more from me do rate me plz
If f(x+y) = f(x).f(y) then f(x)=a
x

If f(x+y) = f(x)+f(y) then f(x)=kx

If f(xy) = f(x)+f(y) then f(x)=log x

If f(xy) = f(x).f(y) then f(x)=xn

If f(x+y) = f(x)=f(y), then f(x)=k

If f(x).f(1/x)=f(x)+f(1/x), then f(x)=xn+1

If f(x+y) + f(x-y) = 2f(x)f(y) then f(x)=(
ax + a-x)/2
If f(x) is a function such that f(x)f(y)-(f(xy)+f(1/y))/2 = 0 then f(x) = cos(log x)
If f(x+y) =  f(x)+f(y) then  f(n)=n.f(1)

Cool goIITian

Joined: 9 Sep 2007 12:14:04 IST
Posts: 46
10 Nov 2007 18:50:22 IST
0 people liked this

hey comment

Blazing goIITian

Joined: 2 Mar 2007 16:23:19 IST
Posts: 482
10 Nov 2007 19:09:01 IST
0 people liked this

dat's nice!

Hot goIITian

Joined: 10 Dec 2006 21:42:09 IST
Posts: 188
10 Nov 2007 19:29:46 IST
0 people liked this

we want more..

Blazing goIITian

Joined: 10 Jan 2007 19:16:46 IST
Posts: 391
10 Nov 2007 21:56:36 IST
0 people liked this

definately very very very very useful

Blazing goIITian

Joined: 13 Jan 2007 20:16:01 IST
Posts: 1289
22 Nov 2007 11:04:17 IST
0 people liked this

u deserve hundreds of salutes..!!

 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

## For Quick Info

Name

Mobile

E-mail

City

Class

Vertical Limit

Top Contributors
All Time This Month Last Week
1. Bipin Dubey
 Altitude - 16545 m Post - 7958
2. Himanshu
 Altitude - 10925 m Post - 3836
3. Hari Shankar
 Altitude - 9960 m Post - 2185
4. edison
 Altitude - 10815 m Post - 7797
5. Sagar Saxena
 Altitude - 8625 m Post - 8064