# Cumulative Vocab

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1. power rule
multiply original by exponent (if constant), then reduce exponent by 1
2. chain rule
take the derivative of the outside function times the derivative of the inside function
3. product rule
deriv the first times second plus first times deriv second
4. quotient rule
deriv first times second minus first deriv second divided by second squared
5. differentiability
implies continuity
6. indefinite integral
g(x)=integral f(x)dx <=> g'(x)=f'(x)
7. power rule (integral)
increase exponent by 1, then divide by new exponent and add C
8. natural exponential integral
eu + C
9. base-b exponential
to differentiate, multiply by ln b and to integrate, divide by ln b (plus C)
10. mean value theorem
• f different (a,b)
• f cont [a,b] => at least one number c such that f'(c)=f(b) - f(a)/b-a
11. fundamental theorem of calculus
f integral and g(x)= integral f(x)dx=>intrgral a to b f(x)dx=g(b)-g(a)
12. fundamental theorem derivative form
g(x)=integral from a to c f(t)dt=> g'(x)=f(x)
13. natural log function
the derivative is the reciprocal function

### Card Set Information

 Author: ht2lvu ID: 61350 Filename: Cumulative Vocab Updated: 2011-01-23 00:22:13 Tags: calculus vocab Folders: Description: AP Calculus Show Answers:

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