Optimization
How are these kinds of problems set up mathematically?
Objective function
Why not make L,h,and w very small?
Constraints
Let’s look at the cable design
The objective function
The first derivative
The second derivative
How do we handle multivariable problems? (no constraints)
Gradient
What is the gradient
What is the analogy in n-D to the 2nd derivative condition?
What about multivariable problems with constraints?
Gradient of the Lagrangian