?Compare the values of \(\Delta y\) and dy if \(x\) changes from \(1\) to \(1.05\). What

Chapter 3, Problem 28

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QUESTION:

Compare the values of \(\Delta y\) and dy if \(x\) changes from \(1\) to \(1.05\). What if \(x\) changes from \(1\) to \(1.01\)? Does the approximation \(\Delta y \approx d y\) become better as \(\Delta x\) gets smaller?

\(f(x)=e^{2 x-2}\)

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QUESTION:

Compare the values of \(\Delta y\) and dy if \(x\) changes from \(1\) to \(1.05\). What if \(x\) changes from \(1\) to \(1.01\)? Does the approximation \(\Delta y \approx d y\) become better as \(\Delta x\) gets smaller?

\(f(x)=e^{2 x-2}\)

ANSWER:

Step 1 of 4

Consider the given equation.

                     

Differentiate both sides of equation with respect to .

                       

 

 

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