Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
100%

Please answer as much as possible

Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope of the tangent line. To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The result is the slope of the tangent line. Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x2, at x = 4 3. f(x) = -3x?, at x = -3 4. f(x) = 3 - x², at x = -3 5. f(x) = 4x? + x , at x = 3 6. f(x) = 2x? + 3x + 1, at x = 2 7. f(x) = 5x? - 2x – 4, at x = -1
Transcribed Image Text:Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope of the tangent line. To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The result is the slope of the tangent line. Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x2, at x = 4 3. f(x) = -3x?, at x = -3 4. f(x) = 3 - x², at x = -3 5. f(x) = 4x? + x , at x = 3 6. f(x) = 2x? + 3x + 1, at x = 2 7. f(x) = 5x? - 2x – 4, at x = -1
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS