Let f be a function defined by y=f(x)=5x^2-2x+1. (a) Find the differential of f. (b) Use your result


Question: Let f be a function defined by \[y=f(x)=5{{x}^{2}}-2x+1\].

(a) Find the differential of f.

(b) Use your result from (b) to approximate the change in y if x changes from 2 to 2.02.

(c) Find the actual change in y if x changes from 2 to 2.02 and compare your result with that obtained in (b)

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