Polynomials: Example: ( f(x) = x^2 ) Limit Definition: ( f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} ) Process: For polynomials, the process generally involves expanding the polynomial using the binomial theorem or simple algebraic expansion, and then simplifying the resulting expression. Difficulty: Polynomials are usually the easiest to handle because the algebra involved is straightforward and there are no complex fractions or radicals to simplify