Calculus
posted by Anonymous on .
y = f(x) = x^2  6 x
(a) Find the average rate of change of y with respect to x in the following intervals.
from x = 2 to x = 3
from x = 2 to x = 2.5
from x = 2 to x = 2.1
(b) Find the (instantaneous) rate of change of y at x = 2.

to find the average slope between x = a and x = b
average slope = [Y(b)Y(a)] / [ba]
so for example from x = 2 to x = 3
average slope = [ 9  (8) ] / [32]
= 1
for part b you want dy/dx at x = 2
dy/dx = 2 x  6
= 2