Problem

$$f(x)=x^{-1}, \quad x_{0}=0.5, \quad d x=0.1$$

06:57

Problem 32 Easy Difficulty

$$f(x)=x^{4}, \quad x_{0}=1, \quad d x=0.1$$

Answer

a) 0.4641
b) 0.4
c) 0.0641

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Calculus 1 / AB

Thomas Calculus

Chapter 3

Differentiation

Section 9

Linearization and Differentials

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Video Transcript

this problem give the affection of it X to the power for So we're giving a faction we will be giving. We'll also be given some value that we take four X, which is labeled a or a zero in this case for and for you in our case. In here's one ex for X equals one, we find the slope off the tension line in order to find the miniaturization off the function at X equal and then poor from D X and V X here is differential. Next, at this point here is when we moved from 1 to 1.1, we would have the white quarter great at this point to be if off 1.1 on the wife cordoning off this point would be if one. So the difference is in the white corner is the first thing that we need full, uh, with okay in the white Important are, if all 1.4 form which we plug into colorfully for free calculator old during, um, we are he really So I've entered the function from the fourth on if you want to do people find how much but one you find, they form. Then I think that fire that the different there 0.44 for world but you a the if the the route in a in a find the still it find the riveted off. Use the power faction, the power all in but there and the derivative four to one of the four, uh, the derivative in the four time for be the river off Natural from is people to four Find for far. Well, for me, 0.4. Okay, well, where we're at right now. Is that the approximation off? Look, point for one. He's 1.4. I see. Calculate What is the absolute value off difference? Off is your point for work four man for work for a problem hoping help.

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