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BITSAT Mathematics Application of Derivatives 2020 BITSAT 2020

BITSAT Mathematics Question (2020) — Solution

Question

Suppose that f(0)=-3 and f^ (x) 5 for all values of x Then, the largest value which f(2) can attain is

Options

  1. A. 7
  2. B. 10
  3. C. 2
  4. D. 9

Answer

A. 7

Step-by-step solution

Using LMVT in [0,2] f(2)-f(0) 2-0 =f^ (c), where c (0,2) f(2)+3 2 5 f(2) 7

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