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.
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multipleQuestions newQuestion What is the derivative of x^3 + 2x? newAnswer The derivative of x^3 + 2x is 3x^2 + 2. Steps: 1. Apply the power rule for differentiation, d/dx (x^n) = n*x^(n-1), to each term. 2. For x^3: d/dx (x^3) = 3x^(3-1) = 3x^2. 3. For 2x: d/dx (2x) = 2 d/dx (x^1) = 2 1x^(1-1) = 2 x^0 = 2 1 = 2. 4. Combine the derivatives: 3x^2 + 2. newQuestion What is 15% of 240? newAnswer 15% of 240 is 36. Steps: 1. Convert the percentage to a decimal: 15% = 15/100 = 0.15. 2. Multiply the decimal by the number: 0.15 * 240. 3. Calculation: 0.15 * 240 = 36.