Derivatives Practice Answers

Derivatives Practice Answers - 2 – 2x 4 19 f(x = 4x 4 –...

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Microeconomics Practice Calculating Derivatives Microeconomics, Fall 2007, Dr. Laury For each of the following, compute the first and second derivatives. Equation 1. f(x) = 4x – 5 2. f(x) = 100 – 16x 2 3. f(x) = x(25-x) 4. f(x) = 16 – 49x 5. f(x) = 2x 2 + 3x – 17 6. f(x) = 16x – 100x 2 7. f(x) = 5x 2 + 3x 8. f(x) = 5x(100-x) 9. f(x) = 7x 2 + 13x 11. f(x) = 2x-1 12. f(x) = 2-3x 13. f(x) = x 2 + 5 14. f(x) = 3-2x 2 15. f(x) = -16x 2 + 100x + 25 16. f(x) = -16x 2 + x 17. f(x) = 3x 2 – x + 5 18. f(x) = 1 – 3x
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Unformatted text preview: 2 – 2x 4 19. f(x) = 4x 4 – x-2 20. f(x) = 3x 2 – 4 21. f(x) = 2x – x-1 22. f(x) = 18 – 5x 3 + 3x 2 – 6x 23. f(x) = 25 + 18x 2 24. f(x) = 31 – 4x 2 – 5x 25. f(x) = 3 + 23x First Derivative 4 -32x 25-2x -49 4x+3 16-200x 10x+3 500-10x 14x+13 2 -3 2x -4x -32x+100 -32x+1 6x-1 -6x - 8x 3 16x 3 + 2x 6x 2 + x-2-15x 2 +6x-6 36x -8x – 5 23 Second Derivative 0 -32 -2 0 4 -200 10 -10 14 0 0 2 -4 -32 -32 6 -6 - 24x 2 48x 2 + 2 6 -2x-3 -30x + 6 36 -8 0...
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