## anonymous 5 years ago Find the derivative of y= x arc cos x - (1-x^2)^(1/2)

1. anonymous

use product rule and chain rule

2. amistre64

can you clean up the equation any?

3. anonymous

think its arccos(x), is the final answer

4. anonymous

i have seen questions like this before

5. anonymous

Does the following look OK? $-\frac{2 x}{\sqrt{1-x^2}}+\text{ArcCos}[x]$

6. anonymous

"differentiate this ..... hence find integral of arccos(x)

7. anonymous

yeh that looks correct ^

8. anonymous

then a very common question to have after this would be to find integral of arccos(x)

9. anonymous

$\int\limits \left(-\frac{2 x}{\sqrt{1-x^2}}+\text{ArcCos}[x]\right) \, dx=\sqrt{1-x^2}+x \text{ArcCos}[x]$