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?

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

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

Problem Answer:

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

Solution:

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