Exercises

Now it’s time to practice what we’ve learned. This lesson is a collection of exercises and a quiz about derivatives, gradients, and optimization.

Exercise 1: The can of soda

Find the minimum surface for a soda can that must have a volume of 355$cm^3$. This time, there’s no restriction on the radius. The mathematical form is:

$$\min_{(r, h)} 2\pi rh + 2\pi r^2 \\ s.t.: \pi r^2h = 355\\$$ ...