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 5x, we use the power rule for differentiation, which states that (d)/(dx)(cx^n) = cnx^n-1. Step 1: Identify the constant and the variable term. In 5x, the constant is 5 and the variable term is x, which can be written as x^1. Step 2: Apply the power rule. (d)/(dx)(5x^1) = 5 · 1 · x^1-1 (d)/(dx)(5x) = 5 · x^0 Step 3: Simplify the expression. Since x^0 = 1 for any non-zero x: (d)/(dx)(5x) = 5 · 1 (d)/(dx)(5x) = 5 The derivative of 5x is 5.