The set of 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 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 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 value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection 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

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

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,xgt1

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