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# Find the derivative of the function. Simplify where possible.$y = \tan{-1} (x - \sqrt {1 + x^2})$

## $$\frac{1}{2\left(x^{2}+1\right)}$$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

instructor. Where's find every two offensive us? Explain Screw off expert. We know that there was a potential You were swamped. But expert now we have this function here means x so we can find garroted. And as for over one plus X minus Spirited off one watts expert squared Must live by. David took your function. That is one minus one over to skirt off. Formals expert multiplied by two ex. All right, so why? Prime is an equal to one over one plus ex spurred minus two Ex temps carted off Formals expert. So I'm expanding this right now. Plus warm clothes expert multiplied by Jews. Will gets love one minus x divided by spirit off one plus expert. So this is equal to one over. True expert loss to minus two exit I'm scurrying off. Wall was expert multiply by skirted a former boss expert mind sex he invited by sperm route off on stakes spring. Well, this is outside the spread through. All right, this is the need to skirted the form plus expert minus X divided by here we have two expert plus two. So that is two times X grateful for he also have this month. Location gives us one full sex spread. One so we can write this one as two times. Expect plus born terms. Um, shrewd one plus expert. Minus this. Now we have This isn't multiplying here, so these will can't love. And we will find the answer. I was born over two times, Expert plus one.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp