Let f(x) = 4x² + 10x - 3. f(x) = f(a) Using the definition of derivative, f'(a) x-a enter the expression needed to find the derivative at x = 2. f'(2) = = lim x 2 = lim x→a Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much. After evaluating this limit, we see that f'(2) = Finally, the equation of the tangent line to f(x) where x = 2 is

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
Let f(x) 4x²+ 10x - 3.
f'(2)
=
Using the definition of derivative, f'(a)
x - a
enter the expression needed to find the derivative at x = = 2.
=
lim
x→2
-
lim
x→a
f(x) = f(a)
-
Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much.
After evaluating this limit, we see that f'(2)
=
Finally, the equation of the tangent line to f(x) where ï =
2 is
Transcribed Image Text:Let f(x) 4x²+ 10x - 3. f'(2) = Using the definition of derivative, f'(a) x - a enter the expression needed to find the derivative at x = = 2. = lim x→2 - lim x→a f(x) = f(a) - Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much. After evaluating this limit, we see that f'(2) = Finally, the equation of the tangent line to f(x) where ï = 2 is
Expert Solution
steps

Step by step

Solved in 3 steps with 13 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