Problem

In Exercises $1-5,$ find the linearization $L(x)$…

05:33

Problem 3 Easy Difficulty

In Exercises $1-5,$ find the linearization $L(x)$ of $f(x)$ at $x=a$
$$f(x)=x+\frac{1}{x}, \quad a=1$$

Answer

$L(x)=2$

Related Courses

Calculus 1 / AB

Thomas Calculus

Chapter 3

Differentiation

Section 9

Linearization and Differentials

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Video Transcript

I mean, uh, this problem you the perfect that is equal to explode. One of regs. We want the emir ization off. If, uh, X equals a and A is given to be one. What was the linear ization of? If X equals? I mean, if we have the graph off faction of Vicks, then at a certain point where X equals a way find tension plan that has this equation on in the vicinity of a in the vicinity of a In this interval around I for here we can approximate deflection values with the values off the red crab. Pretty close by. Uh, hi. Record we want to get is the topic. We just want to find what is the elevates which is schoolgirl in here. Ization of it that X equals eight to find that we need find these two things first. What is different? A Who Everyone equals one plus one plus one of one one of 1/1 reaches one plus one which is to So this is the second part May need is this affects use explosives were going to rewrite This is X to the power of minus one. So when we arrived. The river to is going to be the route or Texas one bluff. Then we use the power rule X to the power of an derived musical end Times X to the power in minus one. So this is going to be minus one in ah times X, decreased by one is two minus two. So this is one minus one over X squid. That is the root. Now the value off the derivative. Yet a equals swelled is one minus 1/1 square, which is equal zero. So this is equal zero before there are a function of X is equal to two plus zero I X equals one. This is the answer to the problem. There we go. Hope it helps, Bart.

Get More Help with this Textbook