Daily Graph 01-03-09

symmetric abt x=y;
passinm thru orig.
discontinuit at x=1 and at y=1;

y=x/(x-1);

y<0 for 0<x<1

+ve for the rest

hehhe :)

this is the simplest looking graph ever given in GOD :)

bhaiya,,, u wanted to gv this only naa ??

aur kuchh mod ya bracket ka galti ho gaya ?? :P

y=x/(x-1)
dy/dx = -1/(x-1)² which is always negative
d²y/dx² = 2/(x-1)³ which is positive when x>1 and negative when x<1
at x=1 function is not defined as y=1+y ==> 1=0.... but at x=1- y=-∞ and at x=1+ y = ∞
at x=∞, y≈1
at x=-∞, y≈1
firther graph passes through origin..

continously decresing functn. ??

as dy/dx = -1/(x-1)^2

it passes thru origin
but if we will write it as y=x/x-1 we can conclude that x=1 is its asymptote
and at x=2, y=2
taking its derivative
∂y/∂x=-1/(x-1)² which is always negative
we can conclude that it is a decreasing f(x)
it is concave up for x>1 and concave down for x<1

I HOPE THAT THE PICTURE IS CLEAR NOW

SORRY ASISH IT WILL PASS THROUGH 2,2

is there any section called classic.....whare is it???