# Question: prove or disprove if f is a differentiable function from...

###### Question details

prove or disprove

If f is a differentiable function from the reals into the reals,
f'(x) > f(x) for all x, and f(0) = 0; then

f(x) > 0 for all x > 0.

prove or disprove

If f is a differentiable function from the reals into the reals,
f'(x) > f(x) for all x, and f(0) = 0; then

f(x) > 0 for all x > 0.