Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows: Let f(x) = x². The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx + b where: m = and b = Using this, we find our approximation for 1.9² is

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
Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows:
Let f(x) = x². The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx + b where:
m =
and
b =
Using this, we find our approximation for 1.9² is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows: Let f(x) = x². The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx + b where: m = and b = Using this, we find our approximation for 1.9² is
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning