Zenzizenzizenzic is an obsolete word with the distinction of containing the most z’s of any word found in the Oxford English Dictionary. It was used in mathematics, before powers were written as superscript numbers, to represent the square of the square of the square of a number. In symbols, zenzizenzizenzic is written as ((x²)²)².

(a) Use the chain rule twice to find the derivative.
(b) Use the properties of exponents to first simplify the expression, and then find the derivative.