The depth of water in an experimental filtration vessel, D D\,D centimetres, varies according to the radius of the sediment layer r r\,r millimetres, such that D=(2r3+9r2)4D = (2r^3 + 9r^2)^4D=(2r3+9r2)4. Determine the rate of change of the depth with respect to the radius, dDdr\displaystyle \frac{dD}{dr}drdD.
