Derry: I’d not come to steal anything. Mr. Lamb: No, no. The young lads steal...scrump the apples. You’re not so young. Derry: I just...wanted to come in. Into the garden. Mr. Lamb: So you did. Here we are, then. Derry: You don’t know who I am. Mr. Lamb: A boy. Thirteen or so. Derry: Fourteen. [Pause] But I’ve got to go now. Good-bye. Mr. Lamb: Nothing to be afraid of. Just a garden. Just me. Derry: But I’m not...I’m not afraid. (Pause) People are afraid of me.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
