Let f be the function defined as follows
y=f(x)= (3x+10)^0.5
(a) Find the differential of f.
(b) Use your result from part (a) to find the approximate change in y if x changes from 4 to 4.1 (Round your answer to three decimal places.).
(c) Find the actual change in y if x changes from 4 to 4.1 and compare your result with that obtained in part (b). (Round your answer to three decimal places.)