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Problem

Find the linearization $ L(x) $ of the function a…

00:33

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Problem 3 Easy Difficulty

Find the linearization $ L(x) $ of the function at $ a. $
$ f(x) = \sqrt x, a = 4 $


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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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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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Problem 36
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Problem 38
Problem 39
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Problem 43
Problem 44

Video Transcript

if f of X escort of X then after four equals the skirt of four, which is to therefore f prime of four. F Prime of X is one over to squirt of acts that it's one of her too squared before, which gives us 1/4 glue. The linear realization is gonna be two plus 14 times x minus for which is gonna be 1/4 x plus one.

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Calculus: Early Transcendentals

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Top Calculus 1 / AB Educators
Heather Zimmers

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Caleb Elmore

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Kristen Karbon

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Michael Jacobsen

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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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