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JEE Math Practice Question

Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $$ \ge $$ 1 and f''(x) $$ \ge $$ 4, for all x $$ \in $$ (1, 6), then :

  1. A.f(5) $$ \le $$ 10
  2. B.f(5) + f'(5) $$ \ge $$ 28
  3. C.f(5) + f'(5) $$ \le $$ 26
  4. D.f'(5) + f''(5) $$ \le $$ 20

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