certainly BRILLIANCE

i have the same question and for me i aint even a dropper

i am going to appear for IITJEE 09,i am still confused whether to opt for selfstudy or go for coaching at mathiit?!!

ur case is different;i feel u must go for coaching at some  reputed institution ;as ur a dropper u can still manage enough time for studies for sure;and most of all its ur last chance -------->SO GIVE IT ALL U HAVE GOT;MAY GOD BLESS U

awaiting more replies......................

at maximum or minimum ,the tangent to the curve at x1 or x2 is parallel to x-axis-------->slope =tan theeta =0                    as slope is dy/dx ------------->it is 0

jus before maximum slope is positive and at maximum zero and den negative ,hence secodn derivative at maximum becomes negative

jus before minimum ,slope is negaitve and at minimum zero and jus after minimum positive,hence secodn derivative there is positive

I HOPE EVERYTHING IS CLEAR-------->DRAW A GRAPH AND CHECK FOR THESE INTERPRETATIONS;THAT WOULD CLEAR IT OUT

DO RATE IF USEFUL

  suppose a quantity y depends on another quantity x such that

 y is maximum at x1 ,and minimum at x2

at maximum or minimum the necessary condition is          dy / dx = 0

for maxima : dy/dx = 0                and d^2 y / dx^2 is negative

for minima:dy/dx=0                      and d^2 y /dx^2 is positive