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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): The absolute maximum of \(f(x)=x^2\) on the interval \([-2,2]\) is 4 .
Reason (R): The absolute maximum of a function on a closed interval must occur at a critical point or an endpoint.
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Question 2 of 10
Assertion (A): The function \(f(x)=x+\frac{1}{x}\) has a local minimum at \(x=1\).
Reason \((\mathrm{R})\) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1)>0\).
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Question 3 of 10
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The curve \(y=x^{\frac{1}{5}}\) has at \((0,0)\)
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Question 4 of 10
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The interval on which the function \(f(x)=2 x^3+9 x^2+12 x-1\) is decreasing is:
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Question 5 of 10
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The abscissa of the point on the curve \(3 y=6 x-5 x^3\), the normal at which passes through origin is:
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Question 6 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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Question 7 of 10
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The maximum value of \(\left(\frac{1}{x}\right)^x\) is:
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Question 8 of 10
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The function \(f(x)=x^{\wedge} 3\) has \(f^{\prime}(0)=0\). What is true about the point \(x=0\) ?
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Question 9 of 10
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The two curves \(x^3-3 x y^2+2=0\) and \(3 x^2 y-y^3=2\)
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Question 10 of 10
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The equation of normal to the curve \(3 x^2-y^2=8\) which is parallel to the line \(x+3 y=8\) is
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This 10 Question MCQ (including Assertion) covers Application of Derivatives Class 12 for Class 12 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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