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# Find the derivative of the function. Simplify where possible.$y = \arctan \sqrt {\frac {1 - x}{1 + x}}$

## $$-\frac{1}{2 \sqrt{1-x^{2}}}, \quad-1 < x < 1$$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

in this trouble. Where's to find David off our tension off? It's our attention off spirit of formerly 61 like you don't know their little party. Alexis is a one of a world expert we're going to use that lets radio Why, as warn over warm plus spirit, you know, four months extra wife, five Eggs Square But Spike by Derek All the inner function with VD Ex off skirted off four minus X divided by Started a whore plus X All right that is equal to or over now. Old text skirt off. Bold, humorous nd nothing Interview How all over Walk plus X Well four minus six. You want one plus six times they would vote. The second term will give us one over to two times or minus X, divided by a spirit of one plus X. Now they're written off the inner points, which is one over one minus extra WiFi one. Thanks. All right, so why Prime is doing one plus x here. I'm taking this and writing down in numerator and negative X supposed to expel care slobs will be have one for sex. Going back to well liked by. Let's take this term here. This lemon right in numerator. We have screwed up X derived by two times for one money sex. Now we're gonna use caution rule for dirigible this term. And that is a negative on the phone for sex minus one minus x times one divided by function be nobody's scraped for we have one plus x court around. We have wonderful sex here and one plus x scrape in the denominator. So this will cancel out and then we'll have one for sex here in B a little later. Also, we have one pulse. Excellent spirit of four for sex so we can cancel thes to furthering the directives for that skirt off us. This all right? You know how One or four. Two times? Two what, over four times four or skirt of one. Really? Sex. Both liked by native to forward. Negative too. He got it from here Negative to divide by scoring a wonderful sex that bee's full castle and will then buy ng the answer as negative one over two times screwed up one money sex, touch her the buffalo sex We can write that one has started off more minus expert And that will be the derivative. Don't forget that beyond this number to be a real number that order to be positive inside her skirt. So next will be between every toward what?

#### Topics

Derivatives

Differentiation

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp