AP Calculus ABeasymcq1 pt
Let f(x) = x² - 4x + 3. Which of the following statements about the derivative f'(x) is true?
A.C) f'(x) = x² - 4
B.A) f'(x) = 2x - 4
C.B) f'(x) = 2x + 4
D.D) f'(x) = 2x - 3
Using the power rule for differentiation, the derivative of x² is 2x, the derivative of -4x is -4, and the derivative of 3 is 0. Therefore, f'(x) = 2x - 4. Option B is incorrect because the derivative of -4x is -4, not +4. Option C is incorrect because it doesn't properly apply the power rule to each term. Option D is incorrect because it incorrectly applies the power rule to the constant term.
BA) f'(x) = 2x - 4
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