The derivative of arccos(x)\arccos(x)arccos(x) is:
−1/1−x2-1 / \sqrt{1-x^2}−1/1−x2
1/1−x21 / \sqrt{1-x^2}1/1−x2
−1/(1+x2)-1 / (1+x^2)−1/(1+x2)
sin(x)\sin(x)sin(x)