The interval to which a may belong so that the function `f(x)=(1-(sqrt(21-4a-a^2))/(a+1))x^3+5x+100` is increasing for `x in R`

The interval to which 'b' may belong so that the function f(x)=(1-(sqrt(21-4b-b^2))/(b+1))x^3+5x+sqrt6 is increasing at every point of its domain is

The interval to which b may belong so that the functions. f(x)=(1-sqrt(21-4b-b^(2))/(b+1))x^(3)+5x+sqrt(16), increases for all x.

The interval to which b may belong so that the functions. f(x)=(1-sqrt(21-4b-b^(2))/(b+1))x^(3)+5x+sqrt(16), increases for all x.

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.

The function f(x)= 2x^(3)-15x^(2) +36x + 1 is increasing in the interval-

Find the intervals in which the function f(x)= 2x^3-15x^2+36x+1 is increasing

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x^(2))) is increasing or decreasing.