This document contains a workshop on the application of derivatives in mechanical engineering. It includes 3 practice exercises solving real-world optimization problems using derivatives. The first finds the optimal angle to maximize the volume of a metal sheet folded into an animal watering trough. The second calculates the maximum area of a storage shed within the constraints of 500m of available fencing. The third determines the optimal dimensions of a square-bottom metal storage tank to minimize material usage. Conclusions emphasize how derivatives allow analyzing how a variable changes with respect to another, aiding sciences like mechanics.