Carpenter Derivative x-a.
- Garry Carpenter
Finding out the definition of "derivative" by examining the slope of a secant.
1. Using the notation above, write an expression for the slope of a secant line to the function f(x) at the point (a, f(a)). 2. Move the "some other point" (x, f(x)) closer to the point (a, f(a)). 3. Use the concepts from #1 and #2 above to write an expression for the slope of the tangent line.