Question

cos(inv) {(a+bcosx)/(b+acosx)}
Differentiate...

Answer 1

Differentiation of Cos(inv) {(a+bcosx)/(b+acosx)} = -(((a + b Cos[x])/(Sqrt[1 - x^2] (b + ArcCos[x])^2) - (b Sin[x])/(b + ArcCos[x]))/Sqrt[1 - (a + b Cos[x])^2/(b + ArcCos[x])^2])