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IAT IISER2022MathematicsApplication of Derivatives

Let a be a nonzero real number and f: R R be a continuous function such that f^ (x) 0 for all x R . Consider g(x)=f (2 a^2 x-a x^2 ) . Then g has

Options

  1. ALocal minima at x=a if a 0
  2. BLocal maxima at x=a if a 0
  3. CA point of inflection at x=a
  4. DLocal maxima at x=a if a 0

Correct answer

D. Local maxima at x=a if a 0

Step-by-step solution

No solution available.

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