Posted by **Ant** on Thursday, June 13, 2013 at 8:53pm.

Let f be the function defined as follows.

$ 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 =

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