Differentiate the function y=4sqrt(x)

Can re-write function as y=4x^1/2Then follow the standard steps for differentiating a power. Take the 1/2 down and multiply by the number in front of the x, in this case 4, to give 2. Now reduce the power we started with by 1, bringing 1/2 down to -1/2.This gives an answer of 2x^-1/2, which can be rewritten as 2/x^1/2