IIT JEE , AIEEE Forum - Mathematics , Differential Calculus - if f(x)=ax^3+bx^2+cx+d has only real root . than find the minimum value of a,b,c,d.

raju111

(1)if f(x)=(2x-pi)^3+2x-cos x

than how can we find out d/dx(f inverse x) at x=pi.

(2)

if f(x+2)-6f(x+1)+f(x)=0,

than f(x)=?

(3)

lim n->infinity

than (en!-[en!])=?

(4)how can we solve ax^5+bx^4+cx^3+dx^2+ex+f=0

and other higher degree equation.

(5)find minimum value of f(x)=4(x-sinx)(x+sqrt(x^2+cos^2x)).

(6) If f(x-1)+f(x+1)=sqrt3.f(x).

f(0)=0,f(1)=pi/2. Than value of f(x)=?

edison

just one at a time please
tell us which one first

srini

Hey,

for the last one the only condition i got was its is an odd function?