Find the derivative ( f(x)=x⁶(x-2)⁵ ):
a) ( f'(x) = 6x⁵(x-2)⁵ )
b) ( f'(x) = 6x⁶(x-2)⁴ )
c) ( f'(x) = 6x⁵(x-2)⁴ )
d) ( f'(x) = 5x⁶(x-2)⁴ )