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Short Quiz

Question 1 of 5
Question 1 of 5
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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 5
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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 3 of 5
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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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Question 4 of 5
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The point on the curve \(y^2=x\), where the tangent makes an angle of \(\frac{\pi}{4}\) with \(x\)-axis is
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Question 5 of 5
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A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of \(10 \mathrm{~cm} / \mathrm{sec}\), then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is:
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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 | 5 questions