If the slope of the tangent to f(x)= a(x-1) + bx at the point (2, determine the values of the constants a and b. #9. ftx)=D 2a[xー)+b %3D [6] f(2) = a +2b= -12 0 f(2) 3D22 +b= -9 © a10 -[ da +4b =-24 e -3b = 15 %3D b=-5 Sub into O a-10 =-12 12+10
If the slope of the tangent to f(x)= a(x-1) + bx at the point (2, determine the values of the constants a and b. #9. ftx)=D 2a[xー)+b %3D [6] f(2) = a +2b= -12 0 f(2) 3D22 +b= -9 © a10 -[ da +4b =-24 e -3b = 15 %3D b=-5 Sub into O a-10 =-12 12+10
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...
Related questions
Question
This is from the test solutions from a test a while back that’s why it’s already answered. Can someone explain how my teacher got the line I’m pointing at?
![If the slope of the tangent to f(x) = a(x-1)² + bx at the point (2,-12) is-9,
determine the values of the constants a and b.
#9.
f(x)= 2alx-1)+b
[6]
sf(2)= a +26=-12 0
f(2) = 2a +b = -9 ©
%3D
an0 -[ da +4b = -24 a
-3b = 15
b=-5
Sub into o
al-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb56e631c-d42d-40c7-abbd-56a75f0138b7%2Fe6449df2-e7c4-4b5f-a8bc-dbe166a526ba%2F0gi3rj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If the slope of the tangent to f(x) = a(x-1)² + bx at the point (2,-12) is-9,
determine the values of the constants a and b.
#9.
f(x)= 2alx-1)+b
[6]
sf(2)= a +26=-12 0
f(2) = 2a +b = -9 ©
%3D
an0 -[ da +4b = -24 a
-3b = 15
b=-5
Sub into o
al-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning