Q1:Find an equation for the tangent to the curve at the given point. 1.y=2v (1,2) 2.y = (x– 1)2 + 1 (1,1) 3.y = (-2,-1/8)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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HW4.pdf >
Home work of Lecture Four
Q1:Find an equation for the tangent to the curve at the given point.
1.y=2Vx
(1,2)
2.y = (x – 1)2 + 1
(1,1)
3.y =
(-2,-1/8)
Q2: At what points do the graphs of the functions below have
horizontal tangents?
1.f(x) = x + 4x - 1
2.g(x) = x - 3x
Q3: Find equations of all lines having slope (-1) that are tangent
to the curve y = 1/ (1 - x)
Q4: Use the limit definition to compute the derivative, f(x), for
2
1.F(x) = x3
2.F(x) = Vx3 – x
Q5: Does any tangent to the curve y = x cross the x-axis at x=-1
If so, find an equation for the line and the point of tangency? If not,
why not?
G
Transcribed Image Text:68 ll ۱۰:۳۰ ص ۲,.. بث ... HW4.pdf > Home work of Lecture Four Q1:Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 + 1 (1,1) 3.y = (-2,-1/8) Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x + 4x - 1 2.g(x) = x - 3x Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/ (1 - x) Q4: Use the limit definition to compute the derivative, f(x), for 2 1.F(x) = x3 2.F(x) = Vx3 – x Q5: Does any tangent to the curve y = x cross the x-axis at x=-1 If so, find an equation for the line and the point of tangency? If not, why not? G
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