# How do you use lagrange multipliers to find the point (a,b) on the graph #y=e^(3x)# where the value ab is as small as possible?

##### 1 Answer

Mar 6, 2015

You rewrite the problem in more useful form.

We usually express these problems as:

Minimize: (objective function)

Subject to: (constraint equation)

You want to minimize the product of two number, so the objective function is

The constraint is

So the problem becomes:

Minimize:

Subject to:

(If you prefer, you could use constraint

Now, proceed as usual for a Lagrange multiplier problem.