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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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
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
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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