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NEST2019MathematicsApplication of Derivatives

Let f:(0, ) R be a function defined as f(x)= x e^ -x 1+x . Then

Options

  1. Af is a strictly decreasing function on (0, )
  2. Bf is a surjective function
  3. Cf is a strictly increasing function on (0, )
  4. Dthere exists a unique x₀ (0, ) such that f (x₀ ) f^ (x₀ ) 0

Correct answer

D. there exists a unique x₀ (0, ) such that f (x₀ ) f^ (x₀ ) 0

Step-by-step solution

No solution available.

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