how do you think they match up?
A.Differentiation
B.y-f(x1)=f'(x1)(x-x1)
C.Secant line
D.The slope of the graph at a point P
E.The tangent line to the curve at the point P
F.The derivative of a function f at a
G.[f(b)-f(a)]/(b-a)
1.Slope of secant line over [a,b], (or Average rate of change of f on this interval)
2.The slope of the tangent line at P,if it exists
3.A line that intersects a curve at two or more points
4.f'(a)=lim of h=o (f(a+h)-f(a) )/h provided that this limit exists
5.The process of finding the derivative
6.The tangent line to the graph of y=f(x) at the point (x1,f(x1))
7.The common limiting position of the secant lines passing through P