Definition: The derivative of f at x0 is the slope of the tangent line
to y = f(x) at the point P = (x0, f(x0).
Geometric Interpretation of Differentiation
What is a tangent line?
It is the limit of the secant lines joining points P = (x0, f(x0)) and Q on
the graph of f(x) as Q approaches P.
What is a secant line?
A secaant line is a line that joins two points on a curve.
Main Formula
Examples of Derivatives
Example 1: y=1/x
Harder Problem: Triangles Under the Graph y=1/x
Notaion for Derivatives
Example 2: y=xn
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