Engineering Board Exam Reviewer · Curve Analysis: Critical Points, Concavity, and Inflection · medium

Find the x-coordinate of the inflection point of f(x)=x3-6x2+9x+1.

1. 2
2. 1
3. 3
4. 4

Answer

A. 2

Solution

f''(x)=6x-12=0 x=2, and f'' changes sign there.

More Curve Analysis: Critical Points, Concavity, and Inflection questions

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