Derivative Function Course
Master derivatives for engineering optimisation. This course transforms multivariable calculus, constraints, Hessians, and Lagrange multipliers into practical tools for solving design problems, conducting sensitivity analysis, and building reliable mathematical models with real-world applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Derivative Function Course offers a concise, hands-on approach to mastering constrained optimisation in engineering design. Learn to convert physical requirements into objective functions and constraints, utilise partial derivatives, gradients, Hessians, and KKT conditions, and validate solutions through sensitivity analysis, clear reporting, and practical considerations in an efficient format.
Elevify advantages
Develop skills
- Formulate constrained optimisation models from real designs.
- Compute and test derivatives including gradients, Hessians, and KKT conditions.
- Solve two-variable design problems comparing interior, boundary, and corner optima.
- Translate engineering limits into practical constraints for safety and feasibility.
- Present optimisation results with clear dimensions, checks, and rationale.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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