Let f be the function defined as follows.

Question

y = f(x) =

3x + 3

(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 =

Answer 1