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11X1 T08 02 first principles
The document discusses the concept of calculating the slope of a tangent line to a curve at a point P. It explains that the slope of a nearby secant line PQ provides an estimate of the tangent slope as Q approaches P. To find the exact tangent slope, the limit of the secant slope as h approaches 0 is taken, which is known as the derivative. The derivative measures the instantaneous rate of change and is symbolized as dy/dx or f'(x). It is calculated using the definition or "first principles" of a derivative.
