So I have this formula : $4x^3 - 17.4x^2 +623.7x$ I have created this formula to find the volume of a box. Now I need to - calculate the dimensions of the box that gives the greatest volume. I have been trying for ages to do this with differentiation, but i continuously don't do it correctly. Could someone please help me/ show me what to do?
2026-04-08 11:03:31.1775646211
Dimensions that give maximum volum of a box
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There is no max to the function $4x^3-17.7x^2+623.7x$ as it is cubic, here is a nice video explaining odd functions.
Hint: If you are trying to find critical points you'll want to first check to see if there exists any.
Double Hint: Try graphing the derivative :)