This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the function to be differentiated. The given function is F(x) = x^2 - x. Step 2: Apply the power rule for differentiation. The power rule states that (d)/(dx)(x^n) = nx^n-1. For the term x^2, the derivative is 2x^2-1 = 2x. For the term x, which is x^1, the derivative is 1x^1-1 = 1x^0 = 1. Step 3: Combine the derivatives of each term. The derivative of F(x) is the derivative of x^2 minus the derivative of x. F'(x) = (d)/(dx)(x^2) - (d)/(dx)(x) F'(x) = 2x - 1 The derivative of F(x) is 2x - 1. 3 done, 2 left today. You're making progress.