Application of Derivatives

Bihar Board Class 12 · Mathematics · 13 past questions

8 of 13 · show all

1. Q1 2026 Set A2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   The equation of the tangent to the curve $y = x^2 + 4x + 1$ at the point $x = 3$ is

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2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   Find the slope at the point $(1,\sqrt{2})$ of the curve $x^2+y^2=3$.

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3. Q4 2025

   The rate of change of the area of a Circle with respect to its radius $r$ at $r = 10\ cm$. is

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4. Q5 2025

   The slope of the normal to the Curve $y = 3x^3 + 7\sin x$ at $x = 0$ is

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5. Q7 2024 Set D

   The slope of the tangent to the curve $y = 2x^2 + 3\sin x$ at $x = 0$ is

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6. Q8 2024 Set D

   The rate of change of the area of a circle with respect to its radius $r$ (in cm$^2$/cm) at $r = 6$ cm is

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7. Q9 2023 Set E

   Find the slope of the tangent to the curve $y=x^3-x+1$ at the point whose $x$-coordinate is 2.

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8. Q12 2018

   Equation of the tangent to the curve $x^{2}+y^{2}=a^{2}$ at $(x_1,y_1)$ is

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