Teachoo MCQ Test

NCERT Exemplar MCQ Quiz

Chapter 6 Class 12 Application of Derivatives | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 504
Question 1 of 7
Question 1 of 7
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A function \(f(x)\) represents the temperature of a chemical reaction over time. If \(f^{\prime}(t)>\theta\) and \(f^{\prime}(t)<0\) for a specific time interval, it means:
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Question 2 of 7
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The slope of the tangent line to the curve \(y=\mathrm{x}^2-3 x\) at \(x=1\) represents:
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Question 3 of 7
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Finding the shortest distance from a point to a curve is an application of:
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Question 4 of 7
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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 7
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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 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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For a function \(f(x)\) on a closed interval \([a, b]\), the absolute maximum value can occur:
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