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NCERT Exemplar MCQ Quiz

Chapter 5 Class 12 Continuity and Differentiability | 7 questions | about 6 minutes

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Question 1 of 7
Question 1 of 7
NCERT Exemplar
If \(x=t^2, y=t^3\), then \(\frac{d^2 y}{d x^2}\) is
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Question 2 of 7
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A company's profit \(P(x)\) from selling \(x\) units is given by a differentiable function. What does the derivative \(P^{\prime}(x)\) represent in a business context?
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Question 3 of 7
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If \(\mathrm{y}=\sqrt{\sin x+y}\), then \(\frac{d y}{d x}\) is equal to
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Question 4 of 7
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The function \(\mathrm{f}(\mathrm{x})=\frac{4-x^2}{4 x-x^3}\) is
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Question 5 of 7
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The value of c in Rolle's theorem for the function \(\mathrm{f}(\mathrm{x})=\mathrm{x}^3-3 \mathrm{x}\) in the interval \([0, \sqrt{3}]\) is
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Question 6 of 7
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The derivative of \(\cos ^{-1}\left(2 x^2-1\right)\) w.r.t. \(\cos ^{-1} x\) is
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Question 7 of 7
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The value of c in Rolle's Theorem for the function \(\mathrm{f}(\mathrm{x})=e^x \sin x\), \(x \in[0, \pi]\) is
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