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
![parabola y = ax whe
78. Find the value of c such that the line y =x + 6 is tangent to
the curve y CVx.
.28
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10c204a6-cb64-44c2-9d5a-9c6d90a911cf%2F7d110901-a283-4f6e-a2d2-7de7b2e3a893%2Fsh6howv.jpeg&w=3840&q=75)
Transcribed Image Text:parabola y = ax whe
78. Find the value of c such that the line y =x + 6 is tangent to
the curve y CVx.
.28
1
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Slope of the tangent to the given curve is the derivative of the given curve.
Therefore differentiating with respect to x, we get
![y= cx
dy
1
C
2x
2x](https://content.bartleby.com/qna-images/answer/10c204a6-cb64-44c2-9d5a-9c6d90a911cf/091b6788-0d96-4ae7-8c73-287343f4b09c/qkxvuxo.png)
Step 2
Now comparing the given line with the slope-intercept form of a line, that is
![3
Slope m
2](https://content.bartleby.com/qna-images/answer/10c204a6-cb64-44c2-9d5a-9c6d90a911cf/091b6788-0d96-4ae7-8c73-287343f4b09c/rcmsrtt.png)
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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