The denominator of a fraction exceeds the square of the num…

Maths Differentiation and Applications of Derivatives NTA Abhiyas Question - Applications of Derivativas Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

The denominator of a fraction exceeds the square of the numerator by 16, then the least value of the fraction is

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The correct answer is:

Let the numerator be x, then

On differentiating w.r.t. x, we get

….(1)

Putting f (x) = 0 for maxima or minima, we get,

16 - x 2 = 0 x = 4, -4

Again, on differentiating w.r.t. x, we get

At x = 4, f"(x) <0

f (x) is maximum at x = 4

And at x = -4, f ” (x) > 0 f(x) is minimum

Least value of

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