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# Find the linearization $L(x)$ of the function at $a.$$f(x) = x^3 - x^2 + 3, a = -2$

## $L(x)=16 x+23$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

Okay, We know L A box is half of a post up prime of eight times X minus a. They're for UVA is negative. Eight, that is, four plus three equals negative. Nine. A primal X is three x squared, minus two acts. They're for a problem. Negative to plugging that in three times. Four months, two times negative to a 16. Therefore, L A box is negative. Nine was 16 times exposed to. Therefore, this simplifies to 16 acts close 23.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp