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Verify the given linear approximation at $a=0 .$ Then determine the values of $x$ for which the linear approximation is accurate to within $0.1 .$$$(1+x)^{-3} \approx 1-3 x$$

$-0.1162 < x < 0.1441$

Calculus 1 / AB

Chapter 2

DERIVATIVES

Section 8

Linear Approximations and Differentials

Derivatives

Differentiation

Applications of the Derivative

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in this question. Um, wrong to figure out what Salim Iraq. Well, the very fires remilitarization of it is given by ice giving the, um, program. So for us, we need to figure out the directive we just given by this. So the view militarisation had X equals toe A, um yes. Given by half of a process of crime off a times X minus A in this case, a course zero. So we have the immunisation because the Y minus three x, which and you were verified. Um, the equation giving in the program is correct. And then we also want to figure out, um, within which interval the error between the demilitarization and a extra function. Yes, less than the opening one. That means we're solving this in quickly on minus one. Right. Sorry. I should be the memorization minus. Um do you extra function so you can use the horrific calculated to find out this interval. So the interval used to ah is from minus 0.1162 to 0.14 full. One

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