Final answer:
To find the derivative of the function s(x) = x³ - 2x, use the power rule of differentiation. Apply the power rule to each term in the function to get the derivative s'(x) = 3x² - 2.
Step-by-step explanation:
To find the derivative of the function s(x) = x³ - 2x, we can use the power rule of differentiation. The power rule states that the derivative of x^n is n*x^(n-1), where n is a constant.
Applying the power rule, we differentiate each term in the function s(x):
- The derivative of x³ is 3x^(3-1) = 3x²
- The derivative of -2x is -2
Combining these derivatives, we get s'(x) = 3x² - 2.