PYQ Vault

Day 223: 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)

    22 (b)
    Check the differentiability of f(x)={x2+1,0≤x<13−x,1≤x≤2f(x) = \begin{cases} x^2 + 1, & 0 \le x < 1 \\ 3 - x, & 1 \le x \le 2 \end{cases} at x=1x = 1.

  2. Question 2

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

    7
    If y=sin⁡2(x3)y = \sin^2 (x^3), then dydx\dfrac{dy}{dx} is equal to :

    Tap an option to check your answer.

  3. Question 3

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

    7
    If sin⁡(xy)=1\sin(xy) = 1, then dydx\dfrac{dy}{dx} is equal to :

    Tap an option to check your answer.

  4. Question 4

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

    27 (b)
    Differentiate y=cos⁡−1(1−x21+x2)y = \cos^{-1}\left(\dfrac{1 - x^2}{1 + x^2}\right) with respect to x, when x∈(0,1)x \in (0, 1).

  5. Question 5

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

    6
    The derivative of x2xx^{2x} w.r.t. xx is

    Tap an option to check your answer.