PYQ Vault

Day 208: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    21 (a)
    Check whether the function f(x)=x2∣x∣f(x) = x^2 |x| is differentiable at x=0x = 0 or not.

  2. Question 2

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    7
    ddx[cos⁡(log⁡x+ex)]\dfrac{d}{dx} [\cos (\log x + e^x)] at x = 1 is :

    Tap an option to check your answer.

  3. Question 3

    Continuity and Differentiability. Asked once: 2025 (same type asked 4 times)

    23 (b)
    If −2x2−5xy+y3=76-2x^2 - 5xy + y^3 = 76, then find dydx\dfrac{dy}{dx}.

  4. Question 4

    Continuity and Differentiability. Asked once: 2025 (same type asked 4 times)

    28
    Show that the derivative of tan⁡−1(sec⁡x+tan⁡x)\tan^{-1} (\sec x + \tan x), [−π2<x<π2]\left[-\dfrac{\pi}{2} < x < \dfrac{\pi}{2}\right] with respect to x is equal to 12\dfrac{1}{2}.

  5. Question 5

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    25 (a)
    If y=x1xy = x^{\frac{1}{x}}, then find dydx\frac{dy}{dx} at x = 1.