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# Find $y'$ and $y".$$y = \frac {1}{(1 + \tan x)^2}$

## $y^{\prime}=\frac{-2 \sec ^{2} x}{(1+\tan x)^{3}} y^{\prime \prime}=\frac{-2 \sec ^{3} x[-3 \sec x+2 \sin x(1+\tan x)]}{(1+\tan x)^{4}}$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

this problem's quite a lengthy application off the caution rule. Wish our write it here and because I've sort of simplification is too messy out. Simply present the final answer here. You can simply start from the original function and applied this rule and knowing that the review of tensions Second square and the reveal secrets, secret tension and simply five from there.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp