Consider the following.

$f(x)=e^{4x-4}$

Compare the values of $y$ and $dy$ if $x$ changes from $1$ to $1\mathrm{.}07.($Round your answers to four decimal places.$)$

$y=$

$dy=$

What if $x$ changes from $1$ to $1\mathrm{.}02?($Round your answers to four decimal places.$)$

$y=$

$dy=$

Does the approximation $y$~~$dy$ become better as $x$ gets smaller?

Yes

No

Need Help?

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