Harmon Floyd
03/31/2024 · Senior High School

Find \( (A) f^{\prime}(x) \), (B) the partition numbers for \( f^{\prime} \), and \( (C) \) the critical numbers of \( f \). \( f(x)=x^{3}-3 x+7 \) (A) \( f^{\prime}(x)= \) (B) Find the partition numbers for \( f^{\prime} \). Select the correct choice below and, if necessary, fill in the answer box to cor A. The partition pumber(s) is/are \( x=\square \). There are no partition numbers. A. The critical number(s) is/are \( x=\square \). (C) Find the critical numbers for \( f \). Select the correct choice below and, if necessary, fill in the answer box to comp (Use a comma to separate answers as needed.) B. There are no critical numbers.

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(A) \( f^{\prime}(x) = 3x^2 - 3 \) (B) The partition numbers are \( x = -1, 1 \). (C) The critical numbers are \( x = -1, 1 \).

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