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Derivative Calco

Derivative Calco. 16. A stone is thrown upward from the top of a building that is 304 feet high with an initial velocity of 80 ft/sec. What is the maximum height of the stone? What is the velocity of the stone just prior to striking the ground?. 2 14. 20. 4. 13 23.

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Derivative Calco

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  1. Derivative Calco

  2. 16

  3. A stone is thrown upward from the top of a building that is 304 feet high • with an initial velocity of 80 ft/sec. • What is the maximum height of the stone? • What is the velocity of the stone just prior to striking the ground? 2 14

  4. 20

  5. 4

  6. 13 23

  7. f(x) = 5secx + tanx find f’(x) 24

  8. 29 7

  9. 18

  10. 11 27

  11. For what values of x will the curve, have a positive slope? 35

  12. f(x) = 6xsecx – 2cosx find f’(x) 10 33

  13. A woman on top of a building throws a ball up in the air. Two seconds after she throws it, the ball is 412 ft above the earth traveling 24 ft/sec. How tall is the building? 21

  14. 5 26

  15. Suppose the position of a moving object is , where s is measured inmeters and t is measured in seconds. Find the average velocity of the object between 1 and 2 seconds. Find the instantaneous velocity when t =1 and t = 2. 19 31

  16. Find the equation of the tangent line to 1 30

  17. Find 17 32

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