Cumulative Vocab

power rule

multiply original by exponent (if constant), then reduce exponent by 1
chain rule

take the derivative of the outside function times the derivative of the inside function
product rule

deriv the first times second plus first times deriv second
quotient rule

deriv first times second minus first deriv second divided by second squared
differentiability

implies continuity
indefinite integral

g(x)=integral f(x)dx <=> g'(x)=f'(x)
power rule (integral)

increase exponent by 1, then divide by new exponent and add C
natural exponential integral

e^u + C
base-b exponential

to differentiate, multiply by ln b and to integrate, divide by ln b (plus C)
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
fundamental theorem of calculus

f integral and g(x)= integral f(x)dx=>intrgral a to b f(x)dx=g(b)-g(a)
fundamental theorem derivative form

g(x)=integral from a to c f(t)dt=> g'(x)=f(x)
natural log function

the derivative is the reciprocal function

Author

ht2lvu

61350

Card Set

Cumulative Vocab

Description

AP Calculus

Updated

2011-01-23T00:22:13Z

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