Partial Derivative of $f(t-k)$ with respect to $f(t)$

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How should I calculate the partial derivative $$ \dfrac{\partial f(t-k)}{\partial f(t)} $$ where $f(\cdot)$ is a scalar function and $k$ is an arbitrary non-zero constant?

Thanks a lot!

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It seems to me that $$\dfrac{\partial g(t)}{\partial f(t)} = \frac{g'(t)}{f'(t)} $$ is a good definition. Now just apply this to $g(t) := f(t-k).$