Use Newton's Method to Obtain an Approximation to the Root $\cos ^{-1} x-6 x=0$

Multiple Choice

Use Newton's method to obtain an approximation to the root of $\cos ^{-1} x-6 x=0$ to within 0.00001.

A) 0.20844
B) 0.2443
C) 0.22413
D) 0.2712