the differential of a function y=2x^3 is the rate of change of that function. finding the differential is done by following the steps below:1) bring down the power of the x term and multiply it by the term in front of the x:this will give a term of 6 in front of the x in this case as 2x3=62) minus one from the power of the x. this will give a value of 2 in this case3) the overall answer is thus 6x^2