Tangent lines Assume f and g are differentiable on their domains with h(x) = Ag(x)). Suppose the equation of the line tangent to the graph of g at the point (4, 7) is y = 3.r - 5 and the equation of the line tangent to the graph of f at (7,9) is y = -2r + 23. a. Calculate h(4) and h' (4). %3D %3D

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 8PS
icon
Related questions
Topic Video
Question

on part a

can you please show all steps how you get 

9 and -6 

Thank you 

Tangent lines Assume f and g are differentiable on their domains
with h(x) = Ag(x)). Suppose the equation of the line tangent to
the graph of g at the point (4, 7) is y = 3.r
of the line tangent to the graph of f at (7,9) is y = -2r + 23.
a. Calculate h(4) and h' (4).
b. Determine an equation of the line tangent to the graph of h at
the point on the graph where x = 4.
5 and the equation
|
%3D
Transcribed Image Text:Tangent lines Assume f and g are differentiable on their domains with h(x) = Ag(x)). Suppose the equation of the line tangent to the graph of g at the point (4, 7) is y = 3.r of the line tangent to the graph of f at (7,9) is y = -2r + 23. a. Calculate h(4) and h' (4). b. Determine an equation of the line tangent to the graph of h at the point on the graph where x = 4. 5 and the equation | %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
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
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