Consider the following. p(q) = 3q² + 9 + 3 (a) Find the derivative, by using the definition. p'(q) = (b) Find the instantaneous rate of change of the function at any value. p'(q) = Find the instantaneous rate of change of the function at the value q = 9. P'(9) = (c) Find the slope of the tangent at the value q = 9.

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
Problem 8CR
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Consider the following.
p(q) = 3q² + 9 + 3
(a) Find the derivative, by using the definition.
p'(q) =
(b) Find the instantaneous rate of change of the function at any value.
p'(q) =
Find the instantaneous rate of change of the function at the value q = 9.
p'(9) =
(c) Find the slope of the tangent at the value q = 9.
Transcribed Image Text:Consider the following. p(q) = 3q² + 9 + 3 (a) Find the derivative, by using the definition. p'(q) = (b) Find the instantaneous rate of change of the function at any value. p'(q) = Find the instantaneous rate of change of the function at the value q = 9. p'(9) = (c) Find the slope of the tangent at the value q = 9.
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