This question was given to Mrs. RickJay’s math course; these students were just taught the concept of derivatives four weeks ago.
“A square of side X is cut from each corner of a square sheet of metal 16 cm on a side, and the edges are turned up to form a tray. Write an equation for the volume of the tray and determine the value of X which will yield the maximum volume.”
Man, this is INTRODUCTORY math?
Anyway, I am pretty sure the equation for volume is V=(16-x)(16-x)(x), right? In that case, how would I find the max value?