# 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 help_outlineImage TranscriptioncloseFinding 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 fullscreen

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

### Derivative 