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Calculus

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Calculus. Chapter 2. A derivative is. the slope of the tangent line. Definition of Derivative. 3 ways a derivative fails to exist. D iscontinuities Sharp turn Vertical tangent. Slope of secant line. average rate of change (average velocity). Instantaneous Velocity. Derivative.

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Calculus

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  1. Calculus Chapter 2

  2. A derivative is

  3. the slope of the tangent line

  4. Definition of Derivative

  5. 3 ways a derivative fails to exist

  6. Discontinuities • Sharp turn • Vertical tangent

  7. Slope of secant line

  8. average rate of change (average velocity)

  9. Instantaneous Velocity

  10. Derivative

  11. Rate of Change Means

  12. Derivative

  13. General Position Function(ft and sec)

  14. Product Rule

  15. (fg) ’ = fg’ + gf’ First d’second + second d’first

  16. Quotient Rule

  17. Bottom d’top – top d’bottom (bottom)2

  18. Chain Rule

  19. Acceleration

  20. a(t) = v’(t) = s’’(t)

  21. cosx

  22. Sec x 2

  23. -csc x 2

  24. secxtanx

  25. -cscxcotx

  26. 0

  27. Implicit Differentiation

  28. Find equation of tangent line

  29. Find derivative at x = c m Find ordered pair for point. Plug into y – y = m(x – x ) 1 1

  30. Related Rates

  31. Know: Want: Eq: Deriv: Remember:

  32. Alternative definition of derivative x=c

  33. Normal Line

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