Let f be defined as follows. y = f(x) = x² - 3x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 6 to x = 7 from x = 6 to x = 6.5 from x = 6 to x = 6.1 (b) Find the (instantaneous) rate of change of y at x = 6.

Let f be defined as follows. y = f(x) = x² - 3x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 6 to x = 7 from x = 6 to x = 6.5 from x = 6 to x = 6.1 (b) Find the (instantaneous) rate of change of y at x = 6.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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Question

Let f be defined as follows.
y = f(x) = x² - 3x
(a) Find the average rate of change of y with respect to x in the following intervals.
from x = 6 to x = 7
from x = 6 to x = 6.5
from x = 6 to x = 6.1
(b) Find the (instantaneous) rate of change of y at x = 6.

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