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NCERT Exemplar MCQ Quiz - Chapter 6 Class 12 Application of Derivatives

Chapter 6 Class 12 Application of Derivatives | 7 questions | about 6 minutes

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Question 1 of 7
Question 1 of 7
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If \(y=x^4-10\) and if \(x\) changes from 2 to 1.99 , what is the change in \(y\)
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Question 2 of 7
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If a function \(f(x)\) is decreasing on \((0,2)\) and increasing on \((2,5)\), then at \(x=2\) the function has a :
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Question 3 of 7
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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 4 of 7
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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 5 of 7
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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 6 of 7
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The function \(f(x)=4 \sin ^3 x-6 \sin ^2 x+12 \sin x+100\) is strictly
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Question 7 of 7
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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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