Homework Help is Here – Start Your Trial Now!
Math
Calculus
EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION From the previous example, we know the derivative of Rx)=x²-x+9 at the number a is F(a)-2a-8. Therefore the slope of the tangent line at (2.-3) is F(2)-2(2)-8-. Thus an equation of the tangent line, shown in the figure, is -()-[

EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION From the previous example, we know the derivative of Rx)=x²-x+9 at the number a is F(a)-2a-8. Therefore the slope of the tangent line at (2.-3) is F(2)-2(2)-8-. Thus an equation of the tangent line, shown in the figure, is -()-[

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
See similar textbooks
icon
Related questions
Question
V EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2, -3). SOLUTION From the previous example, we know the derivative of f(x) = x² - 8x + 9 at the number a is f'(a) = 2a - 8. Therefore the slope of the tangent line at (2, -3) is f'(2) = 2(2) - 8 = [ equation of the tangent line, shown in the figure, is or . Thus an
Transcribed Image Text:V EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2, -3). SOLUTION From the previous example, we know the derivative of f(x) = x² - 8x + 9 at the number a is f'(a) = 2a - 8. Therefore the slope of the tangent line at (2, -3) is f'(2) = 2(2) - 8 = [ equation of the tangent line, shown in the figure, is or . Thus an
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS