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MCQ Worksheet for Application of Derivatives Class 12

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Sample questions

1. Question 1 [1 mark]
NCERT Exemplar
The sides of an equilateral triangle are increasing at the rate of 2 \(\mathrm{cm} / \mathrm{sec}\). The rate at which the area increases, when side is 10 cm is:
(A)
\(10 \mathrm{~cm}^2 / \mathrm{s}\)
(B)
\(3 \mathrm{~cm}^2 / \mathrm{s}\)
(C)
\(10 \sqrt{\mathbf{3}} \mathrm{~cm}^2 / \mathrm{s}\)
(D)
\(\frac{10}{3} \mathrm{~cm}^2 / \mathrm{s}\)
2. Question 2 [1 mark]
NCERT Exemplar
A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of \(10 \mathrm{~cm} / \mathrm{sec}\), then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is:
(A)
\(\frac{1}{10} \mathrm{radian} / \mathrm{sec}\)
(B)
\(\frac{1}{20} \mathrm{radian} / \mathrm{sec}\)
(C)
\(20 \mathrm{radian} / \mathrm{sec}\)
(D)
\(10 \mathrm{radian} / \mathrm{sec}\)
3. Question 3 [1 mark]
NCERT Exemplar
The interval on which the function \(f(x)=2 x^3+9 x^2+12 x-1\) is decreasing is:
(A)
\([-1, \infty)\)
(B)
\([-2,-1]\)
(C)
\((-\infty,-2]\)
(D)
\([-1,1]\)
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About this MCQ Worksheet

This mcq worksheet is designed for Class 12 Maths practice from Application of Derivatives Class 12. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

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The complete worksheet contains 15 questions. This page shows a fixed preview of 3 questions.

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Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.

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