Question

compute the derivative where f(x)cos^(-1)(x) and x=1/2

Answer 1

Is this the function?\[f(x)=\cos^{-1}x \]

If so, then you just have to commit the derivative to memory (I can prove it if you want, but it's not needed). The derivative is:

\[f'(x)=-1/\sqrt{1-x^2}\]

Just plug x = 1/2 into f'(x) and you'll have your answer.

Answer 2

yes thats the function.. just plug in 1/2?

Answer 3

yup