Let f be the function defined as follows.

Question

$ y = f(x) = \sqrt{{\color{red}3} x +{\color{red}10}}$

(a) Find the differential of f.
dy =

(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.).
dy =

(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.)
Δy =