please do the following problems and show the work

86. (a) Sketch y = secr on a restricted domain of length a where the function is one-to- one. Choose such a domain with angles in Quadrants 1 and 2 only. (b) Sketch a graph of the inverse secant function defined using this domain restriction. Give the domain and range of the inverse secant according to this definition. (c) Give the open intervals where the arcsecant is increasing or decreasing. What does this tell you about the derivative of the inverse secant? (d) Show that dy 1 dr r Vr] - Theorem 41 (Derivative of the Inverse Secant) d 1 sec rvr - 1