Chapter 6 Class 12 - AOD - Quiz

Question 1 of 5

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Maximum slope of the curve \(y=-x^3+3 x^2+9 x-27\) is:

A 0 B 12 C 16 D 32

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Question 2 of 5

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The function \(f(x)=2 x^3-3 x^2-12 x+4\), has

A two points of local maximum B two points of local minimum C one maxima and one minima D no maxima or minima

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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:

A The second derivative of the area function is positive. B The first derivative of the area function is zero and the second derivative is negative. C The first derivative of the area function is positive. D The area function itself is equal to zero.

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Question 4 of 5

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Let the \(\mathrm{f}: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(\mathrm{f}(\mathrm{x})=2 \mathrm{x}+\cos \mathrm{x}\), then f :

A has a minimum at \(\mathrm{x}=\pi\) B has a maximum, at \(\mathrm{x}=0\) C is a decreasing function D is an increasing function

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Question 5 of 5

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If the curve a \(y+x^2=7\) and \(x^3=y\), cut orthogonally at ( 1, 1), then the value of \(a\) is:

A 1 B 0 C -6 D 6

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Chapter 6 Class 12 - AOD - Quiz