p(q) = 2q2 + q + 4(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 valueq = 9.p '(9) =(c) Find the slope of the tangent at the valueq = 9.

# p(q) = 2q2 + q + 4(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 valueq = 9.p '(9) =(c) Find the slope of the tangent at the valueq = 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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Question

p(q) = 2q2 + q + 4

(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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