Let f be a function that is differentiable every where and that has the following properties: (i) f(x + h)= f(x)·f(h) (ii) f(x

Let f be a function that is differentiable every where and that has the following properties:

(i) f(x + h)= f(x)·f(h) (ii) f(x) > 0 for all real x. (iii) f'(0) = -1 Use the definition of derivative to find f'(x) in terms of f(x).

Let f be a function that is differentiable every where and that has the following properties: (i) f(x + h)= f(x)·f(h) (ii) f(x) > 0 for all real x.