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Asked by Annoymous

Let f:[0,infinity) -> R be a differentiable function such that f'(x) >= f(x) > 0 for all x in [0,infinity). Construct a proof to show that f'(x) >= f(x) for all x in [0,infinity).
9 years ago

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Answered by Steve
You say

f'(x) >= f(x) > 0 for all x in [0,∞)

show that
f'(x) >= f(x) for all x in [0,∞)

Is that not the hypothesis already?
9 years ago

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