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NCERT Exemplar MCQ Quiz

Question 1 of 7
Question 1 of 7
NCERT Exemplar
The function \(f(x)=x^{\wedge} 3\) has \(f^{\prime}(0)=0\). What is true about the point \(x=0\) ?
Select one option. Answers are shown after the test.
Question 2 of 7
NCERT Exemplar
A company's marginal cost is the derivative of its cost function, \(C^{\prime}(x)\). If \(C^{\prime}(100)=\) 15, what does this signify?
Select one option. Answers are shown after the test.
Question 3 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:
Select one option. Answers are shown after the test.
Question 4 of 7
NCERT Exemplar
A function \(f(x)\) is increasing on the interval ( \(a, b\) ). What can be said about its derivative, \(f^{\prime}(x)\) ?
Select one option. Answers are shown after the test.
Question 5 of 7
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The function \(f(x)=2 x^3-3 x^2-12 x+4\), has
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Question 6 of 7
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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 7 of 7
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To find the dimensions of a rectangle with a fixed perimeter that has the maximum possible area, one should look for a point where:
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Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Chapter 6 Class 12 Application of Derivatives | 7 questions