The set of all values of a for which the function
`f(x)=((a^2-1)/3)x^3+(a-1)x^2+2x+1`
increases on R, is

The set of values of a for which the function f(x)=2e^x-ae^(-x)+(2a+1)x-3) is increasing on R,is

The set of all the possible values of a for which the function f(x)=5+(a-2)x+(a-1)x^(2)-x^(3) has a local minimum value at some x 1 is

The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(-1)x)+(1)/(sqrt(x-2)) exists is

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing 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 set of all values of x for which ((x+1)(x-3)^(2)(x-5)(x-4)^(3)(x-2))/(x) lt 0

Find the values of x for which the functions f(x)=3x^(2)-1 and g(x)=3+x are equal