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Problem

Explain, in terms of linear approximations or dif…

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Problem 29 Easy Difficulty

Explain, in terms of linear approximations or differentials, why the approximation is reasonable.
$ \sec 0.08 \approx 1 $


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Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
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Anna Marie Vagnozzi

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Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

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Watch More Solved Questions in Chapter 3

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Problem 7
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Problem 10
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Problem 12
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Problem 15
Problem 16
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Problem 31
Problem 32
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Problem 34
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Problem 42
Problem 43
Problem 44

Video Transcript

okay. We know that AF of axe is seeking acts. An after prom of axe is seeking acts times tangent acts. Therefore, we know that after prime of zero is seeking zero times 10 of zero, which is simply zero. Therefore, we know that seeking of 0.0 a is gonna be one plus zero points. Your rate time zero, which is seeking of zero points you're right, is just gonna be one.

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Calculus: Early Transcendentals

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Top Calculus 1 / AB Educators
Grace He

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Kristen Karbon

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Video Thumbnail

04:40

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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.

Video Thumbnail

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