Let g(x) = x – 5x. Find the exact value of I where g'(x) = 0. 1, Let r(t) = t - 12t. Find the exact values of t where r' (t) = 0. Enter your answer as a list separated %3D by commas.
Let g(x) = x – 5x. Find the exact value of I where g'(x) = 0. 1, Let r(t) = t - 12t. Find the exact values of t where r' (t) = 0. Enter your answer as a list separated %3D by commas.
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...
Related questions
Question

Transcribed Image Text:Here's a quick example of the process we'll need to follow. Lets say we want to know the values of x
where the derivative of f(x) = x° - 3x is zero. First, we find the derivative. Using the shortcut
3x-3. So the equation we need
to solve is 3x? - 3 = 0. If we divide both sides of this equation by 3, we get r² – 1 = 0. Now, this is a
quadratic equation, and it has two solutions. There are several ways to find both solutions. One way
would be to factor the equation, giving us (x + 1)(x – 1) = 0, from which we can see that the
-1 and x = 1. (An alterative method for finding the solutions might be to use the
formulas from Section 9.4, we can see that the derivative is f'(x) =
2
%3D
solutions are x =
Quadratic Formula.)
So, the derivative of f(x) = x° - 3x is zero when x
1, 1 (which we read aloud as "x equals -1 or
1").
Let g(æ) = x² – 5x. Find the exact value of x where g'(x) = 0.
Let r(t) = t° – 12t. Find the exact values of t where r'(t) = 0. Enter your answer as a list separated
%3D
by commas.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning