MAT 211 Lecture Notes - Lecture 9: Gottfried Wilhelm Leibniz
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2. 2 the derivative as a function notes: sterling. Provide a generalization to each of the key terms listed in this section. If you have any limits that actually exist on any interval, then you can say that the given function is actually di erentiable on that intended interval. All of the following are ways to write the rst derivative of any function: y f (x) df dx d dx f (x) df (x) dxf (x) Critical points are various points that occur when the subordinate (derivative) is either zero or indistinct (unde ned) while only have a rst subsidiary (derivative) of zero. One tip is to "coor- dinate" a table of points to even a graph of the given function with its subordinate by checking out at the critical points. If your original function has any critical point(s), then the function"s derivative will be indistinct or zero.