Question

Show that f(x) = eˣ – e⁻ˣ + x – tan⁻¹ x is strictly increasing in its domain.

Find the absolute maximum and absolute minimum values of the function f given by f(x) = x/2 + 2/x, on the interval [1, 2].

The function f(x) = kx – sin x is strictly increasing for

Find the interval in which the function f(x) = x⁴ – 4x³ + 10 is strictly decreasing.