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S
Sage
Let's start by breaking down the problem into smaller steps.
S
Sage
To find the derivative of x³ + 2x² - 5x + 1, we'll use the power rule.
The power rule states that we multiply the coefficient by the exponent and then reduce the exponent by 1.
S
Sage
Applying the power rule to each term:
- The derivative of x³ is 3x²
- The derivative of 2x² is 4x
- The derivative of -5x is -5
- The derivative of 1 is 0
Therefore, the derivative of x³ + 2x² - 5x + 1 is 3x² + 4x - 5.