# 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 eu + 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 Authorht2lvu ID61350 Card SetCumulative Vocab DescriptionAP Calculus Updated2011-01-23T00:22:13Z Show Answers