Question

The function f(x) = tan^-1 x is ____________.

Options

• strict increasing

• differentiable nowhere

• strictly decreasing

• neither increasing nor decreasing

Answer 1

The function f(x) = tan^-1 x is strict increasing.

Explanation:

`"f'" ("x") = "d"/"dx" ("tan"^-1 "x") = 1/(1 + "x"^2) > 0 AA  "x" in "R".`

Therefore, f is strictly increasing on R.