Optimization

How are these kinds of problems set up mathematically?

Objective function

Why not make L,h,and w very small?

Constraints

Constraints

Let’s look at the cable design

The objective function

Constraints

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