Find the area of the largest rectangle with lower base on t…

Maths Differentiation and Applications of Derivatives Maxima and Minima Subjective Type

Published on: August 13, 2026

Find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve
y = 12 − x²

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The correct answer is:

CHECK THE SOLUTION.

Let A be area of rectangle.

A = (2x) (y)

= 2x (12 – x 2 )

= 6(2 + x) (2 – x)

At x = 2, A has largest value.

Largest A = 32

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