I Can't Differentiate All Day!

Calculus Level 2

Let \(y=f(x)\) be a function in \(x.\) Also, let \(y^{(n)}\) denote the \(n^\text{th}\) derivative of \(y\) with respect to \(x.\) If \(y^\text{(100)}=y^\text{(101)},\) which of the following can possibly be \(y=f(x)?\)

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