a) Find the slope m of the tangent to the curve y = 7/V× at the point where x = a> 0. b) Find equations of the tangent lines at the points (1, 7) and (4, 2). (x) =| (at the point (1, 7)) · 글) -(x) = at the point c) Graph the curve and both tangents on a common screen.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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(a) Find the slope m of the tangent to the curve y = 7/yx at the point where x = a > 0.
m%3D
(+. 2).
(b) Find equations of the tangent lines at the points (1, 7) and
4,
y(x) =
(at the point (1, 7))
y(x) =
at the point (4,
(c) Graph the curve and both tangents on a common screen.
y
y
15
15
10
10
-2
-2
4
-5-
- 10
-10
-15
-15
y
y
15|
15
10
10
-4
-2
4
4
-5
- 10
-10
15F
-15
Transcribed Image Text:(a) Find the slope m of the tangent to the curve y = 7/yx at the point where x = a > 0. m%3D (+. 2). (b) Find equations of the tangent lines at the points (1, 7) and 4, y(x) = (at the point (1, 7)) y(x) = at the point (4, (c) Graph the curve and both tangents on a common screen. y y 15 15 10 10 -2 -2 4 -5- - 10 -10 -15 -15 y y 15| 15 10 10 -4 -2 4 4 -5 - 10 -10 15F -15
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