Finding an Equation of a Tangent Line In Exercis and 62, find equations of the two tangent lines to the grap Approximating a Deri evaluate f(2) and f(2.1) and f that pass through the indicated point. 62. f(x) = x2 61. f(x) = 4x- x2 67. f(x) = x(4 - x y у Using the Derivative 10 (2, 5) 8 6 4 alternative fe 3 45 6 78 4 derivative at 3+ wwwe 2 y 69. f(x) = x3 + 2x2 + 1, -6-4 -2 2 4 6 70. g(x) = x2 - x, c = 1 -X RI,-3) -4 5 1 2 3 71. g(x) = x, c = 0 f A 63. Graphical Reasoning Use a each function and its tangent lines at x = -1, x = x =1. Based on the results, determine whether the slane tangent lines to the graph of a fanction at different values always distinct. graphing utility to 73. f(x) = (x - 6)2/3, c x 75. h(x) = lx +7|, c = C 1 2 3 Determir 77-80, de are differentia (b) g(x) = (a) f(x) x TY f(x)(x + 4)2/3 a function how you HOW DO YOU SEE IT? The figuré shows the graph of g'. 64. function Explain +t always -6 -4 -2 4 2+ nmetric metric 79, f(r -6-4 ob 151

Question

61

Finding an Equation of a Tangent Line In Exercis
and 62, find equations of the two tangent lines to the grap
Approximating a Deri
evaluate f(2) and f(2.1) and
f that pass through the indicated point.
62. f(x) = x2
61. f(x) = 4x- x2
67. f(x) = x(4 - x
y
у
Using the
Derivative
10
(2, 5)
8
6
4
alternative fe
3 45 6 78
4
derivative at
3+
wwwe
2
y
69. f(x) = x3 + 2x2 + 1,
-6-4 -2
2 4 6
70. g(x) = x2 - x, c = 1
-X
RI,-3)
-4
5
1 2 3
71. g(x) = x, c = 0
f
A 63. Graphical Reasoning Use a
each function and its tangent lines at x = -1, x =
x =1. Based on the results, determine whether the slane
tangent lines to the graph of a fanction at different values
always distinct.
graphing utility to
73. f(x) = (x - 6)2/3, c
x
75. h(x) = lx +7|, c =
C
1 2 3
Determir
77-80, de
are
differentia
(b) g(x) =
(a) f(x) x
TY f(x)(x + 4)2/3
a function
how you
HOW DO YOU SEE IT? The figuré shows
the graph of g'.
64.
function
Explain
+t
always
-6
-4
-2
4
2+
nmetric
metric
79, f(r
-6-4
ob
151

Image Transcription

Finding an Equation of a Tangent Line In Exercis and 62, find equations of the two tangent lines to the grap Approximating a Deri evaluate f(2) and f(2.1) and f that pass through the indicated point. 62. f(x) = x2 61. f(x) = 4x- x2 67. f(x) = x(4 - x y у Using the Derivative 10 (2, 5) 8 6 4 alternative fe 3 45 6 78 4 derivative at 3+ wwwe 2 y 69. f(x) = x3 + 2x2 + 1, -6-4 -2 2 4 6 70. g(x) = x2 - x, c = 1 -X RI,-3) -4 5 1 2 3 71. g(x) = x, c = 0 f A 63. Graphical Reasoning Use a each function and its tangent lines at x = -1, x = x =1. Based on the results, determine whether the slane tangent lines to the graph of a fanction at different values always distinct. graphing utility to 73. f(x) = (x - 6)2/3, c x 75. h(x) = lx +7|, c = C 1 2 3 Determir 77-80, de are differentia (b) g(x) = (a) f(x) x TY f(x)(x + 4)2/3 a function how you HOW DO YOU SEE IT? The figuré shows the graph of g'. 64. function Explain +t always -6 -4 -2 4 2+ nmetric metric 79, f(r -6-4 ob 151

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