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
To find the derivative of x^2, we use the power rule for differentiation, which states that (d)/(dx)(x^n) = nx^n-1. Step 1: Identify the function and the exponent. The function is f(x) = x^2. The exponent is n=2. Step 2: Apply the power rule. (d)/(dx)(x^n) = nx^n-1 Substitute n=2: (d)/(dx)(x^2) = 2x^2-1 Step 3: Simplify the expression. (d)/(dx)(x^2) = 2x^1 (d)/(dx)(x^2) = 2x The derivative of x^2 is 2x.