Derivative Function Course
Gain expertise in derivatives for engineering applications. The Derivative Functions in Optimisation course transforms multivariable calculus, constraints, Hessians, and Lagrange multipliers into practical tools for optimisation, sensitivity checks, and reliable mathematical modelling in design scenarios.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course offers a streamlined, hands-on approach to mastering constrained optimisation for practical design challenges. You'll convert physical specs into objective functions and constraints, utilise partial derivatives, gradients, Hessians, and KKT conditions, and validate solutions through sensitivity analysis, clear documentation, and real-world engineering factors in an efficient format.
Elevify advantages
Develop skills
- Formulate constrained optimisation models by converting practical designs into precise mathematical forms.
- Rapidly compute and validate derivatives including gradients, Hessians, and KKT conditions.
- Solve design problems with two variables by evaluating interior, boundary, and corner solutions.
- Convert engineering constraints like safety margins, units, and practicality into mathematical limits.
- Clearly communicate optimisation outcomes with optimal values, verification, and reasoning.
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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