9. Consider y = 3x2 – 2x + 1 a) Find the slope of the tangent to f(x) at x = 1 b) Write the equation of the tangent line at x = 1

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...
icon
Related questions
Question
100%
### Problem 9

Consider the function \( y = 3x^2 - 2x + 1 \).

a) Find the slope of the tangent to \( f(x) \) at \( x = 1 \).

b) Write the equation of the tangent line at \( x = 1 \).

Note: To find the slope of the tangent line, you'll need to compute the derivative of the function and evaluate it at the given point \( x = 1 \). The equation of the tangent line can then be derived using the point-slope form of a line.
Transcribed Image Text:### Problem 9 Consider the function \( y = 3x^2 - 2x + 1 \). a) Find the slope of the tangent to \( f(x) \) at \( x = 1 \). b) Write the equation of the tangent line at \( x = 1 \). Note: To find the slope of the tangent line, you'll need to compute the derivative of the function and evaluate it at the given point \( x = 1 \). The equation of the tangent line can then be derived using the point-slope form of a line.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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