PYQ Vault
EbooksTutor

f'(x) <= 5 and a value of f given: greatest possible value of f at another point

The same question, asked 3 times: 9 May 2024 S2*, 22 Apr 2025 S2*, 13 Apr 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2024 S2

    150
    Let f(0)=−3f(0) = -3 and f′(x)≤5f'(x) \leq 5 for all real values of xx. The f(2)f(2) can have possible maximum value as

    Tap an option to check your answer.

  2. Question 2

    22 Apr 2025 S2

    107
    Let f be a function which is continuous and differentiable for all xx. If f(1)=1f(1) = 1 and f′(x)≤5f^{'}(x) \leq 5 for all xx in [1,5]\lbrack 1,5\rbrack, then the maximum value of f (5) is

    Tap an option to check your answer.

  3. Question 3

    13 Apr 2026 S2

    76
    Let f(x)f(x) be the differentiable function for all xx such that f′(x)≤5f'(x) \le 5 and f(1)=4f(1) = 4. The maximum value of f(5)f(5) is...

    Tap an option to check your answer.