# Calculus

posted by
**Ant**
.

Let f be the function defined as follows.

$ y = f(x) = {\color{red}5} x^2 -{\color{red}9} 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 2 to 1.97. (Round your answer to two decimal places.)

dy =

(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)

Δy =