# Calculus Review

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 Author: Robertfoster ID: 131303 Filename: Calculus Review Updated: 2012-01-31 01:40:06 Tags: Basic Calculus Review Folders: Description: f Show Answers:

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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
• 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!
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