Use logarithmic differentiation to find the derivative of the function y = x² cos(x).
a) y' = 2x cos(x) - x² sin(x)
b) y' = 2x cos(x) + x² sin(x)
c) y' = 2x sin(x) + x² cos(x)
d) y' = 2x sin(x) - x² cos(x)