Equations of tangent lines by definition (1) a. Use definition (1) (p. 133 ) to find the slope of the line tangent to the graph of f at P . b. Determine an equation of the tangent line at P . c. Plot the graph of f and the tangent line at P . 19. f ( x ) = 3 x + 3 ; P ( 2 , 3 )
Equations of tangent lines by definition (1) a. Use definition (1) (p. 133 ) to find the slope of the line tangent to the graph of f at P . b. Determine an equation of the tangent line at P . c. Plot the graph of f and the tangent line at P . 19. f ( x ) = 3 x + 3 ; P ( 2 , 3 )
Use definition to find the slope of the tangent line to the graph of the equation at the point with x coordinate a. Find an equation of the tangent line at P. Sketch the graph and the tangent line at P.
y = √x. P(4,2)
Which of the lines in the following graph appear to be tangent lines? Why or why not?
xy
L1
L2
L3
L4
L5
L6
A coordinate system has a horizontal x-axis and a vertical y-axis. An undulating curve spans most of the length of the x-axis. A line segment rises from left to right and crosses the curve at L 1. A second line segment touches the curve at L 2. A third line segment touches the curve at L 3. A fourth line segment touches the curve at L 4. A fifth line segment is horizontal and crosses the curve at L 5. A sixth line segment touches the curve at L 6.
Which of the lines in the following graph appear to be tangent lines? Select all that apply.
A.Upper L 5
L5
B.Upper L 4
L4
C.Upper L 3
L3
D.Upper L 1
L1
E.Upper L 6
L6
F.Upper L 2
Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use equal signs
appropriately. Clearly indicate your answers.
1. Find the slope and an equation of the tangent line to the graph f(x) = 3x4 - 7x at the point (2,10).
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY