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January 26, 2015

January 26, 2015

Posted by **Anonymous** on Thursday, June 6, 2013 at 6:58pm.

(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.

- Calculus -
**Damon**, Thursday, June 6, 2013 at 7:20pmto find the average slope between x = a and x = b

average slope = [Y(b)-Y(a)] / [b-a]

so for example from x = 2 to x = 3

average slope = [ -9 - (-8) ] / [3-2]

= -1

for part b you want dy/dx at x = 2

dy/dx = 2 x - 6

= -2

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