Application of Derivatives

CBSE Class 12 · Mathematics · 18 past questions

7 of 18 · show all

1. Q3 2025

   Find the intervals in which function $f(x) = 5x^{3/2} - 3x^{5/2}$ is (i) increasing (ii) decreasing.

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2. Q4 2025

   A technical company is designing a rectangular solar panel installation on a roof using 300 metres of… (with a figure)

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3. Q5 2025

   The function $f(x) = x^2 - 4x + 6$ is increasing in the interval

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4. Q6 2025

   A cylindrical tank of radius 10 cm is being filled with sugar at the rate of $100\pi$ cm$^3$/s. The rate, at…

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5. Q7 2025

   Find the values of 'a' for which $f(x)=\sin x-ax+b$ is increasing on $\mathbb{R}$.

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6. Q8 2025

   The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of x…

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7. Q9 2025

   For the curve $y=5x-2x^3$, if $x$ increases at the rate of 2 units/s, then how fast is the slope of the curve…

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