1. Check real fast please =)

Find the derivative of the function.

y=x*cos^(-1)(x) - sqrt(1-x^2)

y'=cos^(-1)(x) + x(-1/sqrt(1-x^2)) + 2x/2(sqrt(1-x^2))

y'= cos^(-1)(x)

i think i did it right but it just seemed weird to me that it would reduce so much so i just wanted to make sure it is right haha

thank you

2. Hi

Could you make more specific wich is the argument of the $\displaystyle \cos$ function?

3. Originally Posted by mybrohshi5
Find the derivative of the function.

y=x*cos^(-1)(x) - sqrt(1-x^2)

y'=cos^(-1)(x) + x(-1/sqrt(1-x^2)) + 2x/2(sqrt(1-x^2))

y'= cos^(-1)(x)

i think i did it right but it just seemed weird to me that it would reduce so much so i just wanted to make sure it is right haha

thank you

that's correct

4. Originally Posted by mybrohshi5
Find the derivative of the function.

y=x*cos^(-1)(x) - sqrt(1-x^2)

y'=cos^(-1)(x) + x(-1/sqrt(1-x^2)) + 2x/2(sqrt(1-x^2))

y'= cos^(-1)(x)

i think i did it right but it just seemed weird to me that it would reduce so much so i just wanted to make sure it is right haha

thank you
It looks correct to me. When you add the last two terms together, they cancel.

5. correct!

Correct!
Here is a useful site/program to help with checking derivative and integrals, and lots of other usefull stuff:
- Wolfram|Alpha

6. Originally Posted by snaes
Correct!
Here is a useful site/program to help with checking derivative and integrals, and lots of other usefull stuff:
- Wolfram|Alpha
Wow that site is amazing. i cant believe how fast and accurate it is. that thing is amazing lol. will definitely come in handy when i study for my exam on tuesday.

thanks you so much again