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Find the linearization $L(x)$ of the function at $a$.$f(x)=\cos x, \quad a=\pi / 2$

$L(x)=0-(x-a)=-x+\frac{\pi}{2}$

Calculus 1 / AB

Chapter 3

Derivatives

Section 8

Linear Approximations and Taylor Polynomials

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

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In mathematics, a derivati…

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In mathematics, the deriva…

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Find the linearization $L(…

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Find the linearization $ L…

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this question asked us to find the Lanier ization of the function. The first step is to plug in a for axe when we get zero, then take the derivative. The derivative of co sign is negative Sign plug and A for ex again and now into the formula for linear or ization. We have us of a plus inverse function of or plus F promise acts. So that would be negative because we have a negative function. Times X minus a. This simplifies to negative acts, plus pi over to remember our power over two is our A.

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