If {image} choose the graph of f'(x).

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Presentation transcript:

If {image} choose the graph of f'(x). 1. {applet} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

If f(-4) = -2, f '(-4) = 5, g(-4) = 0 and g'(-4) = -2, find (f + g)'(-4). -5 12 5 9 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

If h(2) = 4 and h'(2) = -5, find   {image} 1. 2. {image} 3. 4. 5. 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find equations of the tangent lines to the curve   {image}   that are parallel to the line y = 2x - 9. y = 2x + 30 and y = 2x + 83 y = 2x + 14 and y = 2x + 56 y = 2x + 31 and y = 2x + 71 y = 2x + 42 and y = 2x + 63 y = 2x + 15 and y = 2x + 77 y = 2x + 24 and y = 2x + 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

For what values of a and b is the line {image}   tangent to the parabola   {image}   when x = 2? {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50