Find an equation of the tangent line to the curve at the given point. f(x) = 7*2 - x3, (1,6) y= 11x-5 TN ИUNN 30 X 6 00-8 Illustrate by graphing the curve and the tangent line on the same screen. 0-2 у 50 40 30 20 10 2 4 6 -2 50 40 20 10 2 -6 -4 -2 50 40 у 30 20 10 2 0-8 -6 -4 -2 50 40 30 20 10 О

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...
icon
Related questions
Question

Which graph is correct

Find an equation of the tangent line to the curve at the given point.
f(x) = 7x²x³, (1,6)
y =
11x - 5
Illustrate by graphing the curve and the tangent line on the same screen.
y
y
y
50
50
40
40
M M N N
30
30
20
20
10
10
-4
-4
-2
2
2
-2
6
X
O-2
4
-6
2
6
y
2
X
Transcribed Image Text:Find an equation of the tangent line to the curve at the given point. f(x) = 7x²x³, (1,6) y = 11x - 5 Illustrate by graphing the curve and the tangent line on the same screen. y y y 50 50 40 40 M M N N 30 30 20 20 10 10 -4 -4 -2 2 2 -2 6 X O-2 4 -6 2 6 y 2 X
Expert Solution
Step 1: first we know about tangent line

Given that the equation of the curve is 

          y = 7x2 - x3 

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning