3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes from t = 1 to t = 3. b) Find the instantaneous rate of change of f(t) with respect to t when t = 1.

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.CR: Chapter 3 Review
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 Application of Derivatives (Tangent Line, Normal Line, Rate of Change) 

3. Let f(t) = t(1 - 2t).
a) Find the average rate of change of f(t) with respect to t as t changes from t = 1 to t = 3.
b) Find the instantaneous rate of change of f(t) with respect to t when t = 1.
Transcribed Image Text:3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes from t = 1 to t = 3. b) Find the instantaneous rate of change of f(t) with respect to t when t = 1.
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