To find the derivative of the function x³/x - 3, the function simplifies to x² - 3. The derivative of x² is 2x and constants have a derivative of 0, making the final answer 2x.
The student is seeking assistance with finding the derivative of a function. Given the function is in the form of a fraction, the Quotient Rule for differentiation will need to be applied. To differentiate x³/x - 3, we simplify the function to x² - 3 since dividing x³ by x reduces to x². The derivative of x² is 2x, and the derivative of a constant, like -3, is 0. Therefore, the final derivative of the given function is 2x.
So, after the simplification, differentiating x² gives us 2x, and since the derivative of a constant term is 0, the term -3 vanishes during differentiation. Thus, the final answer is 2x.