In Exercises 11-18, find the slope of the function's graph at the giv point. Then find an equation for the line tangent to the graph there. 11. f(x) = x² + 1, (2, 5) 12. f(x) = x- 2x², (1, –1)

Algebra & Trigonometry with Analytic Geometry
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Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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In Exercises 11-18, find the slope of the function's graph at the given
point. Then find an equation for the line tangent to the graph there.
11. f(x) = x + 1, (2, 5)
12. f(x) x- 2r, (1, -1)
13. g(x) =2 (3, 3)
14. g(x)
8
(2, 2)
%3D
%3D
15. h(t) = , (2, 8)
16. h(t) = 1 + 3t, (1,4)
17. f(x) = Vx, (4, 2)
18. f(x) = Vx + 1, (8, 3)
%3D
Transcribed Image Text:In Exercises 11-18, find the slope of the function's graph at the given point. Then find an equation for the line tangent to the graph there. 11. f(x) = x + 1, (2, 5) 12. f(x) x- 2r, (1, -1) 13. g(x) =2 (3, 3) 14. g(x) 8 (2, 2) %3D %3D 15. h(t) = , (2, 8) 16. h(t) = 1 + 3t, (1,4) 17. f(x) = Vx, (4, 2) 18. f(x) = Vx + 1, (8, 3) %3D
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