# Calculus Review

The flashcards below were created by user Robertfoster on FreezingBlue Flashcards.

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!
You're awesome.
 Author: Robertfoster ID: 131303 Card Set: Calculus Review Updated: 2012-01-31 06:40:06 Tags: Basic Calculus Review Folders: Description: f Show Answers: