p(q) = 3q² + q + 8 (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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following.
p(g) = 3q? + q + 8
(a) Find the derivative, by using the definition.
p'(a) =
(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(g) = 3q? + q + 8 (a) Find the derivative, by using the definition. p'(a) = (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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