Application of Derivatives

Bihar Board Class 12 · Mathematics · 13 past questions

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. Q3 2025

   Find the equation of the normal lines to the curve $3x^2-y^2=8$ which are parallel to the line $x+3y=4$.

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4. 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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5. Q5 2025

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

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6. Q6 2025

   Find the interval in which the function $f(x)=2x^3+9x^2+12x-1$ is decreasing.

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7. 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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8. 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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9. 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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10. Q10 2019 Set F

    The maximum value of $f(x) = \frac{\log x}{x}$ is -

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11. Q11 2018

    $f(x) = \sqrt{3}\sin x + \cos x$ is maximum then value of x= ..............

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12. 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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13. Q13 2018

    Find the maximum and minimum values of $x^3 - 2x^2 + x + 6$.

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