A lesson on differentiating inverse hyperbolic functions, including the relevant formulas and several worked examples. It begins by stating the objectives, which are to apply derivative formulas to solve for the derivatives of inverse hyperbolic functions and to solve problems involving these derivatives. The document then presents a theorem with differentiation formulas for inverse hyperbolic functions such as sinh⁻¹u, cosh⁻¹u, tanh⁻¹u, coth⁻¹u, sech⁻¹u, and csch⁻¹u. Following the theorem, the document provides four examples demonstrating how to apply these formulas to find the derivatives of various functions involving inverse hyperbolic functions. Each example shows the step-by-step process of applying the derivative rules and simplifying the result. From mapua university's department of mathematics.