Calculus Review

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Author:
Robertfoster
ID:
131303
Filename:
Calculus Review
Updated:
2012-01-31 01:40:06
Tags:
Basic Calculus Review
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  1. Power Rule
  2. Sum Rule
  3. Product Rule
  4. Quotient Rule
  5. General Power Rule
  6. Chain Rule
  7. Implicit Differentiation
    • Procedure:
    • 1. Differentiate both sides with respect to x. (Remember the y' "hook-on factor" for any term involving y.)
    • 2. Collect all y' (or dy/dx) terms on one side of the equations.
    • 3. Factor out y'.
    • 4. Divide to solve for y'.
  8. Integration Power Rule
  9. Integration Sum Rule
  10. Integration General Power Rule
  11. U-Substitution
    • 1. Let u=radical.
    • 2. Square both side of this equation to get u^2=number.
    • 3. Solve for x (in terms of u).
    • 4. Differentiate the equation from Step 3.
    • 5. Find dx.
    • 6. Substitute u-expression for the x-expression in the integral. (usually du is not dx, replace that also)
    • 7. Integrate.
    • 8. Substitute back, so that your final answer is again in terms of x.

    Note: Step 3 and 4 can be reversed.
  12. Fundamental Theorem of Calculus
  13. Second Fundamental Theorem of Calculus
  14. Second Fundamental Theorem (Chain Rule)
  15. Le Regle d'Hopital
  16. Keep Going!
    You're awesome.

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