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NEST2014MathematicsApplication of Derivatives

Let f(x)= x e^ x and g(x)= x e^ x be two functions. Then

Options

  1. Af(x) is increasing and g(x) is decreasing on (0, / 2)
  2. Bf(x) and g(x) attain their maximum at the same point in (0, / 2)
  3. Cf(x) and g(x) have the same maximum on (0, / 2)
  4. D₀^ / 2 f(x) d x= ₀^ / 2 g(x) d x

Correct answer

D. ₀^ / 2 f(x) d x= ₀^ / 2 g(x) d x

Step-by-step solution

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