Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

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

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Idaho State University

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.

01:01

Find the linearization of …

01:02

01:20

Find the linearization $L(…

02:15

02:20

02:03

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.

View More Answers From This Book

Find Another Textbook

00:21

There are 12 cats and 7 dogs at the Humane society.In how many ways can the …

01:16

A toy manufacturer surveyed 50 of their employees about their vacation plans…

00:31

10 different names are put into a computer and one of the names is Colin. On…

Consider the quadratic function f(x) = x2 – 5x + 6.What are the values o…

01:24

How many 7-pound others would it take to outweigh a 200-pound orangutan?…

01:07

Simplify this expression.8.9 – 1.4x + (–6.5x) + 3.4

02:22

helppppp meee ill promise toooo markkk brainliesttttttttA golf ball is h…

01:00

A manufacturer makes plastic containers in the shape of rectangular prisms. …

01:39

Third90 feetFirst90 feetHomeThe area of a baseball field…