Use logarithmic differentiation to find the derivative of the function.
y = sin⁶(x) tan⁴(x) (x² + 3)²
a) y' = 6sin⁵(x) tan⁴(x) (sec²(x) + 2(x² + 3))
b) y' = 6sin⁵(x) tan³(x) (sec²(x) + 2(x² + 3))
c) y' = 4sin⁵(x) tan⁴(x) (sec²(x) + 2(x² + 3))
d) y' = 6sin⁶(x) tan⁴(x) (sec²(x) + 2(x² + 3))