Problem 2: Each of the following questions asks you to use derivatives to answer key questions about functions. Be sure to think carefully about each question and to use proper notation in your responses. (a) Find the slope of the tangent line to h(z) = VI + = %3D at the point where z = 4. (b) Find an equation for the tangent line to the curve f(r) 3r-2r + 72 - r + 12 at the point where r -1. (c) What is the difference between being asked to find the slope of the tangent Scan line (asxed in (a)) alid the equation of the tangent line (asked in (c))?
Problem 2: Each of the following questions asks you to use derivatives to answer key questions about functions. Be sure to think carefully about each question and to use proper notation in your responses. (a) Find the slope of the tangent line to h(z) = VI + = %3D at the point where z = 4. (b) Find an equation for the tangent line to the curve f(r) 3r-2r + 72 - r + 12 at the point where r -1. (c) What is the difference between being asked to find the slope of the tangent Scan line (asxed in (a)) alid the equation of the tangent line (asked in (c))?
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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![**Problem 2: Each of the following questions asks you to use derivatives to answer key questions about functions. Be sure to think carefully about each question and to use proper notation in your responses.**
(a) Find the slope of the tangent line to
\[ h(x) = \sqrt{x} + \frac{1}{x} \]
at the point where \( x = 4 \).
(b) Find an equation for the tangent line to the curve
\[ f(x) = 3x^4 - 2x^3 + 7x^2 - x + 12 \]
at the point where \( x = -1 \).
(c) What is the difference between being asked to find the slope of the tangent line (asked in (a)) and the equation of the tangent line (asked in (b))?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F998b6cca-58bb-4391-bb13-94678d180001%2F338eccab-e25e-4ec2-926b-9ecea1742494%2Fejrtnmc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2: Each of the following questions asks you to use derivatives to answer key questions about functions. Be sure to think carefully about each question and to use proper notation in your responses.**
(a) Find the slope of the tangent line to
\[ h(x) = \sqrt{x} + \frac{1}{x} \]
at the point where \( x = 4 \).
(b) Find an equation for the tangent line to the curve
\[ f(x) = 3x^4 - 2x^3 + 7x^2 - x + 12 \]
at the point where \( x = -1 \).
(c) What is the difference between being asked to find the slope of the tangent line (asked in (a)) and the equation of the tangent line (asked in (b))?
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