Question

Find the derivative of y= x arc cos x - (1-x^2)^(1/2)

Answer 1

use product rule and chain rule

Answer 2

can you clean up the equation any?

Answer 3

think its arccos(x), is the final answer

Answer 4

i have seen questions like this before

Answer 5

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

Answer 6

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

Answer 7

yeh that looks correct ^

Answer 8

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

Answer 9

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