Let f(x) = x². Using the Limit Definition, the slope (mr) of the tangent line to f(x) at x = -2 is calculated by the expression (−2+ h)² - 4 mT = lim h→0 h , which, in turn, gives m = −4. Write the complete solution to support the answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
icon
Related questions
Question
Let
f(x) = x².
Using the Limit Definition, the slope (mr) of the
tangent line to f(x) at x = -2 is calculated by the
expression
(−2+ h)² - 4
mT = lim
h→0
h
,
which, in turn, gives m = −4.
Write the complete solution to support the answer.
Transcribed Image Text:Let f(x) = x². Using the Limit Definition, the slope (mr) of the tangent line to f(x) at x = -2 is calculated by the expression (−2+ h)² - 4 mT = lim h→0 h , which, in turn, gives m = −4. Write the complete solution to support the answer.
Expert Solution
steps

Step by step

Solved in 2 steps with 10 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning