Clearing up directional semi-derivatives for one dimension

This post clears up a confusion I ran into recently with directional semi-derivatives in one dimension. Directional semi-derivatives Consider a function , where , and let be a direction in (i.e. a vector with length 1). For any point , the directional semi-derivative of at in the direction is given by if the limit exists. […]

Clearing up directional semi-derivatives for one dimension
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