# 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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