# Solution: Locate the points of inflection of the curve y = f(x) = x^2 e^x

Locate the points of inflection of the curve y = f(x) = x^2 e^x. How to find the points of inflection of the curve?

#### Problem Statement: EE Board April 1997

Locate the points of inflection of the curve y = f(x) = x^2 e^x.
• A. -2 ± √3
• B. 2 ± √2
• C. -2 ± √2
• D. 2 ± √3

Note: At point of inflection, y'' = 0

The points of inflection of the curve is equal to -2 ± √2

Solution:

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