Question

求y=arccos(1-2x)的导数

Answer 1

(arccosx)'=(π/2-arcsinx)'=-(arcsin X)'=-1/√(1-x^2)

y=arccos(1-2x)的导数=2/√[1-(1-2x)^2]=2/√(4x-4x^2)=1/√(x-x^2)