Problem

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

01:24

Problem 2 Easy Difficulty

Find the linearization $L(x)$ of the function at $a$
$$f(x)=\sin x, \quad a=\pi / 6$$

Answer

$L(x)=\frac{\sqrt{3}}{2} x-\frac{\pi}{4 \sqrt{3}}+\frac{1}{2}$

Related Courses

Calculus 1 / AB

Essential Calculus Early Transcendentals

Chapter 2

DERIVATIVES

Section 8

Linear Approximations and Differentials

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Video Transcript

for this question where you need to find out the tension line, which is also called The Memorization at X equals two pi over six. Um, we're gonna use set up one phone. That is, if we're given a function a four fix and we want to find out. Attend Unite X equals two a. By the slow point form, we have this formula y minus safe or very close to the purity. If at eight times X minus eight I'm saying this question is given and we need to figure out what say for Faye. I'm safe off a is Just sigh off high over six Now here we have and the f prime, the curative We will be, um, Costa fix So the narrative at X because they will be Kasai off higher the six now be Rudolph the Red Divide by two. With all this information we have why miners? 1/2 he caused to root off the red divide by two x minus piras six eso move this one have to the other side. So we have leg mineralization is given by kept in alof. X equals to route all three derived by two times x ah, minors. Um fruit off three pie divide by 12 and plus 1/2

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