Learn to calculate derivatives and gradients and solve optimization problems.

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 355cm3cm^3. This time, there’s no restriction on the radius. The mathematical form is:

min(r,h)2πrh+2πr2s.t.:πr2h=355\min_{(r, h)} 2\pi rh + 2\pi r^2 \\ s.t.: \pi r^2h = 355\\

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