In this question we will use the definition of the derivative to calculate the derivative of f(I) = = 6 By definition, f'(x) is given by the limit of the difference quotient: f'(x) = lim f(i t h) - f(z) h +0 h Substituting our particular choice of function f(x), this limit becomes: f'(x) = lim h +0 After performing algebraic manipulations and simplifying, we can evaluate the limit to determine f'(x). The result is: f' (x) =