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JEE Main2011MathematicsDefinite IntegrationActual

For x (0, 5 2 ) , define f(x)= ₀^x t t d t . Then f has

Options

  1. Alocal minimum at and 2
  2. Blocal minimum at and local maximum at 2
  3. Clocal maximum at and local minimum at 2
  4. Dlocal maximum at and 2

Correct answer

C. local maximum at and local minimum at 2

Step-by-step solution

f^ (x)= x x Given x (0, 5 2 )f^ (x) changes sign from +ve to -ve at ^ (x) changes sign from -ve to +ve at 2 has local max at , local min at 2

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