For f(x)=(1/2)x^2-3, do the following. a) find the slope Msec of the secant line containing the points P=(4,f(4)) and Q=4+h, f(4+h).
Msec=
b) use the result from (a) to compute the following table.
h = -0.5, -0.1, -0.001, 0.001, 0.1, 0.5
Msec=
c) Investigate the limit of the slope of the secant line found in (a) as h-->0
lim Msec=
d) what is the slope of the tangent line to the graph of graph of f at P=(4, 4f(4))?