The condition that `f(x) =ax^3+bx^2+cx+d` has no extreme value is

Then condition that x^(4)+ax^(3)+bx^(2)+cx+d is a perfect squre,is

The condition that one root of ax^(3)+bx^(2)+cx+d=0 may be the sum of the other two is 4abc=

The condition that the roots of ax^(3)+bx^(2)+cx+d =0 may be in G.P is

The function kf(x)=ax^(2)+bx^(2)+cx+d has three positive roots.If the sum of the roots of f(x) is 4, the larget possible inegal values of c/a is

If both the critical points of f(x) = ax^(3)+bx^(2) +cx +d are -ve then

If both the critical points of f(x) = ax^(3)+bx^(2) +cx +d are -ve then

The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find the values of a and b . Show that , the function possesses a minimum value at the extreme point.

If f(x)=ax^(5)+bx^(3)+cx+d is odd then