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Maths Application of Derivatives Class 12 MCQ Questions

10 Question MCQ (including Assertion) · Class 12 · Maths · CBSE

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Chapter 6 Class 12 Application of Derivatives | 10 questions | about 8 minutes

Practise Application of Derivatives Class 12 with Teachoo's 10 Question MCQ (including Assertion) (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
Assertion (A): If the marginal revenue of a company is greater than its marginal cost, it should increase production.
Reason (R): The rate of change of profit is positive when MR \(>\mathrm{MC}\).
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Question 2 of 10
Assertion (A): The function \(f(x)=\sin (x)\) is increasing on the interval \(\left(0, \frac{\pi}{2}\right)\).
Reason (R): The derivative, \(f^{\prime}(x)=\cos (x)\), is positive for all \(x\) in the interval ( \(0, \frac{\pi}{2}\))
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Question 3 of 10
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The equation of tangent to the curve \(y\left(1+x^2\right)=2-x\), where it crosses \(x\)-axis is:
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Question 4 of 10
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A ladder is leaning against a wall and its base is being pulled away from the wall. The rate at which the top of the ladder slides down the wall is:
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Question 5 of 10
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\(y=x(x-3)^2\) decreases for the values of \(x\) given by :
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Question 6 of 10
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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:
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Question 7 of 10
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The rate of change of a circle's circumference with respect to its radius is:
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Question 8 of 10
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For a function \(f(x)\) on a closed interval \([a, b]\), the absolute maximum value can occur:
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Question 9 of 10
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Let the \(\mathrm{f}: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(\mathrm{f}(\mathrm{x})=2 \mathrm{x}+\cos \mathrm{x}\), then f :
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Question 10 of 10
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The radius of a spherical balloon is increasing. The rate of change of its volume is fastest when:
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