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NEST2023MathematicsApplication of Derivatives

Let f:(0,3) (6,9) R be a differentiable function such that f^ (x)= 1 2 for all x (0,3) (6,9) . Then

Options

  1. Af is an increasing function.
  2. Bf is a one to one function.
  3. Cf(8)-f(7)=f(2)-f(1) .
  4. Dthere exists a number c in R such that f(x+6)=f(x)+c for all x (0,3) .

Correct answer

D. there exists a number c in R such that f(x+6)=f(x)+c for all x (0,3) .

Step-by-step solution

No solution available.

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