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Problem

Find the limit. $ \displaystyle \lim_{x \to 0} \…

01:28

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Problem 47 Medium Difficulty

Find the limit.
$ \displaystyle \lim_{\theta \to 0} \frac {\cos \theta - 1}{2 \theta^2} $


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00:44

Frank Lin

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Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Kristen Karbon

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Joseph Lentino

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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

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

it's clear. So when you read here, So we have the limit. The state approaches. Zero her co sign of data on minus one over too. Wait a square. This is equal to the limit and state approaches. Zero for co sign minus one over to beta square turns co sign plus one vulgar co sign plus one which is equal to one. You make this equal to limit a state of coaches. Ciro, we're co signed. Square minus one over too. Beta square. There's one over. CO sign street of plus one. This is equal to the limit. Data approaches zero negative. Sign square over to date. A square comes one over. CO signed data close one. We continue to simplify it. Out. We get signed. Square over. Data square runs the limit as ex approach speed approaches. Zero negative one over to post time data plus two. Then this equals the limit. Estate approaches zero for sign. They, uh, over beta square time. Negative one over to co sign of zero plus two. This equals one square turns negative. One over two plus two becomes equal to negative 14

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Calculus: Early Transcendentals

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Related Topics

Derivatives

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Top Calculus 1 / AB Educators
Catherine Ross

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Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

Calculus 1 / AB Courses

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.

Join Course
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