Wednesday

October 22, 2014

October 22, 2014

Posted by **sh** on Thursday, April 8, 2010 at 10:23pm.

y=[x/√(1-x²)]- sin‾¹x

y'={[(1-x²)^(1/2)-(-2x)(x)(1/2)(1-x²)^(-1/2)]/(1-x²)} - (1/√(1-x²))

Then I multiplied (-2x)(x)(1/2) together. How do I simplify the rest?

- Calculus -
**Reiny**, Thursday, April 8, 2010 at 10:40pmI agree so far with

y' = {[(1-x²)^(1/2)-(-2x)(x)(1/2)(1-x²)^(-1/2)]/(1-x²)} - (1/√(1-x²))

= {[(1-x²)^(1/2)-(-x^2(1-x²)^(-1/2)]/(1-x²)} - (1-x^2)^(1/2)/(1-x²)

I formed a common denominator for the last term

= (1-x^2)^(-1/2) [1-x^2 - x^2 - (1-x^2)]

= -(1+x^2)/(1-x^2)^(3/2)

There would be other variations, the trick is to recognize if they are the same

- Calculus -
**sh**, Thursday, April 8, 2010 at 10:57pmThank you for the help!

**Answer this Question**

**Related Questions**

algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...

Math - Find an equation of the line that bisects the obtuse angles formed by the...

algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...

algebra 1 - alright i have a few questions if its ok..? Simplify: 1. -2√(...

Algebra - Simplify the expressions and solve the equations 1. 2√3 - √...

Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...

maths - I will be thankfull to you if you help me to solve the below problem: 6...

Math - I need someone to check my homework answers. I don't really know this ...

Math - Help with radicals please - Please show work Simplify rational 1. 4√...

Algebra Work Check - 1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √...