Final answer:
The question appears to contain a typo or incomplete equation in differential calculus. It is impossible to solve for the derivative as written. A correct form of the equation is necessary to provide a solution.
Step-by-step explanation:
The original question seems to be about solving for the derivative dy/dx in the context of differential calculus. However, the provided equation (dy/dx = (y-1)(y-1) - y(5) = 0) appears to be a typo or incomplete. While it's not possible to solve this equation as written, typically solving for a derivative like dy/dx involves using rules of differentiation such as the product rule, quotient rule, or chain rule. If the equation were to be written correctly for a given function y(x), the steps would involve applying these rules to find the derivative. If the student can provide a correct version of the equation or a specific function y(x), a detailed explanation of the solution process can be offered.