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Use a linear approximation (or differentials) to estimate the given number.$ 1/4.002 $

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$\frac{1}{4.002} \approx 0.249875$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

Jordan B.

April 30, 2022

Where does the -0.0625 come from?

Missouri State University

Oregon State University

University of Nottingham

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

02:02

$23-28$ Use a linear appro…

02:47

Use a linear approximation…

03:06

02:41

07:53

00:27

02:03

13:33

Use the linear approximati…

01:06

Okay, We know that we have one over 4.2 which is equivalent to approximately 1/4 plus 0.2 times after Prime of for the Derivative with four plugged in. Therefore, one over 4.2 is 1/4 Kloss 0.2 times negative zero point 06 to 5, which gives US 0.24 9875

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