A function has the derivative f'(x) = 3x2 - 7x + 2. What are the stationary points of f, and their natures. Help fill in the blanks.  The x-coordinate of one stationary point is at x = ____. It is a _____. (local maximum, local minimum or horizontal point of inflection).  The x-coordinate of the other stationary point is at x = ____. It is a ____. (local maximum, local minimum or horizontal point of inflection).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A function has the derivative f'(x) = 3x2 - 7x + 2. What are the stationary points of f, and their natures. Help fill in the blanks. 

The x-coordinate of one stationary point is at x = ____. It is a _____. (local maximum, local minimum or horizontal point of inflection). 

The x-coordinate of the other stationary point is at x = ____. It is a ____. (local maximum, local minimum or horizontal point of inflection). 

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