Answer
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Work Step by Step
Geometrically, a function typically does not have a derivative at a point when there is a sharp corner, cusp, or discontinuity in the graph of the function at that point. In other words, if the graph has a sudden change in direction or if there is a gap or jump in the graph at that point, the function will not have a derivative there. This is because the derivative of a function measures the rate of change of the function at that point, and if the function is not smooth and continuous at that point, the rate of change cannot be determined. Therefore, geometrically, a function does not have a derivative at a point where there is a sharp change or discontinuity in the graph.
