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Subject:  Calculus

Find the derivative of 3x² − 5x + 2

Differentiate a quadratic polynomial term by term.

Answer f'(x) = 6x − 5

Solution

  1. Function f(x) = 3x² − 5x + 2
  2. Constant term d/dx(2) = 0
  3. Power rule d/dx(-5x) = -5
  4. Power rule d/dx(3x²) = 6x
  5. Derivative f'(x) = 6x − 5

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