1D Graph
NEED DESCRIPTION HERE
The derivative can be approximated by the slope of a secant line using 1d graph
The derivative is a local quantity using 1d graph
1D Graph
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The derivative at a cusp is undefined using 1d graph
1D Graph
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The magnitude of the derivative at a point is the slope of a tangent line at that point
1D Graph
The value of the derivative at a point on a curve is equivalent to the slope of a line tangent to the curve at that point. The tangent line can be thought of as the limit of a secant line between two points infinitesimally close together
1D Graph
In order to find the derivative at a point on a 1D graph, one need only look at the region of the graph immediately around the point of interest