Find the derivative of the function by using the Product Rule. Simplify your answer. ( f(x) = (x⁶ + 1)(x⁶ - 1) )
a. ( 12x¹⁰ - 2x⁶ )
b. ( 12x¹¹ - 2x⁵ )
c. ( 12x¹¹ - 2x⁷ )
d. ( 12x¹⁰ - 2x⁵ )