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Numerade Educator

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Problem 2 Easy Difficulty

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

Answer

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

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Video Transcript

off of pi over six is sign of Pi over six, which is 1/2 therefore off. Prime of pi over six is co sign of power over six, which is three over to start squared off you over to there for the liberalization is gonna be 1/2 of a squirt of three over two terms Pai mei, which equal squared of three over two x minus pi over four squirt of three plus 1/2.