CBSE Past Year MCQ Quiz - Chapter 6 Class 12 Application of Derivatives

Question 1 of 3

CBSE Board Exam 2026

For \(\mathrm{f}(x)=x+\frac{1}{x}(x \neq 0)\)

A local maximum value is 2 B local minimum value is -2 C local maximum value is -2 D local minimum value < local maximum value

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Question 2 of 3

CBSE Board Exam 2025

The function \(\mathrm{f}(x)=x^2-4 x+6\) is increasing in the interval

A \((0,2)\) B \((-\infty, 2]\) C \([1,2]\) D \([2, \infty)\)

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Question 3 of 3

CBSE Board Exam 2026

The rate of change of volume of a sphere with respect to its diameter, when its radius is 5 cm, is :

A \(400 \pi \mathrm{~cm}^3 / \mathrm{cm}\) B \(100 \pi \mathrm{~cm}^3 / \mathrm{cm}\) C \(50 \pi \mathrm{~cm}^3 / \mathrm{cm}\) D \(25 \pi \mathrm{~cm}^3 / \mathrm{cm}\)

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CBSE Past Year MCQ Quiz - Chapter 6 Class 12 Application of Derivatives