Earth is being added to a pile so that, when the height of the pile is h metres, its volume is V cubic metres, where V = (h6 + 16) 1 2 − 4.Find the value of dV/dh when h = 2.
As V=(h6+16)1/2 -4, the chain rule can be used to calculate dV/dh.
dV/dh=3h5(h6+16)-1/2
h=2 can be substituted in to find the solution.
325(26+16)-1/2=10.73
