the dimensions of a box are 10" by 12" by 16". if the shorter sides are decreasing at the rate of .2"/min. and the longest side is increasing at .3"ming. how fast is the volume changing?

Question

zepdrix · Answer

|dw:1355878324269:dw|Hmm this one is a little tricky, because we're going to have the product rule with 3 terms.

Does the picture make sense?
The prime terms are the RATE OF CHANGE of the sides.
You can think of them as dx/dt if that's more clear to you.

anonymous · Answer

You got it now take it apart and solve

anonymous · Answer

how do you set it up to solve it though?