Question

If a rectangle has its base on the x-axis and two vertices on the curve y=e^-x^2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the rectangle has
the largest possible area when the two vertices are at the points of inflection of the curve.

Image Transcription

If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

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Tagged in
Math
Calculus

Applications of Derivative