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

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...
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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
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
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
Step 2

Now comparing the given line with the slope-intercept form of a line, that is

3
Slope m
2
steps

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