Is there an infinitely differentiable function $f$ such that
- $f(x)=0 \iff x=0$,
- $f$ is infinitely differentiable
- No derivative of $f$ is ever equal to zero.
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Sign up to join this communityIs there an infinitely differentiable function $f$ such that
Consider the function $f:\Bbb R \to \Bbb R$ s.t $f(x)=e^x-1$.