What is the derivative of x³ + 2x, and what is 15% of 240?

Question 1: What is the derivative of x^3 + 2x?

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.

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Question 2: What is 15% of 240?

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.