If graph of the function f(x) =`3x^(4)+2x^(3)+ax^(2)-x+2` is concave upward for all real x, then find values of a,

The number of nonzero integral values of a for which the function f(x)=x^(4)+ax^(3)+(3x^(2))/(2)+1 is concave upward along the entire real line is

If the function f(x)=(3x^(2)ax+a+3)/(x^(2)+x-2) is continuous at x=-2, then the value of f(-2) is

If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all real values of x then-

The number of nonzero integral values of a for which the function f(x)=x^4+a x^3+(3x^2)/2+1 is concave upward along the entire real line is___________

The number of nonzero integral values of a for which the function f(x)=x^4+a x^3+(3x^2)/2+1 is concave upward along the entire real line is___________

The number of nonzero integral values of a for which the function f(x)=x^4+a x^3+(3x^2)/2+1 is concave upward along the entire real line is___________

The number of nonzero integral values of a for which the function f(x)=x^4+a x^3+(3x^2)/2+1 is concave upward along the entire real line is___________

Find the values 'a' for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-1 decreases for all real values of x

The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 decreases for all real values of x, is

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.