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IAT IISER2017MathematicsContinuity and Differentiability

Let f: R R be a differentiable function such that f^ (0)=1 and f(x+y)=f(x) f(y) for all x, y R . Which of the following is true?

Options

  1. Af is a decreasing function but f^ is an increasing function.
  2. BBoth f and f^ are increasing functions.
  3. Cf is an increasing function but f^ is a decreasing function.
  4. DBoth f and f^ are decreasing functions.

Correct answer

B. Both f and f^ are increasing functions.

Step-by-step solution

No solution available.

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