Real Analysis: Differentiation
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If I let the function f:R->R have two derivatives with f(0) = 0 and f'(x) <= f(x) for all x in R.
Is f(x) = 0 for all x in R© BrainMass Inc. brainmass.com March 6, 2023, 1:14 pm ad1c9bdddf
Here is a counter example
We define f(x) as follows:
if x>=0, f(x)=0
if x<0, f(x)=x^4 ...
A counter-example is used to disprove a statement about a function. A function for two derivatives are analyzed.