AP Calculus AB Exam

1 of 66

Term



cos(pi/3)



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1/2 0




1/4 √3/2


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2 of 66

Term



given v(t) find total distance travelled

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∫ f(x) dx integrate over interval a to
∫ abs[v(t)] over interval a to b
b




0 ∫ [v(t)]^2 over interval a to b


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3 of 66

Term



y = cos(x), y' =



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y' = -sin(x) y' = cos(x)




y' = sec(x)tan(x) y' = -csc^2(x)


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, 4 of 66

Definition



Slope of secant line between two points, use to estimate
instantanous rate of change at a point.



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Average Rate of Change Instantaneous Rate of Change




Constant Rate of Change Variable Rate of Change


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5 of 66

Term



y = tan(x), y' =



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y' = sec²(x) y' = cos(x)




y' = sec(x)tan(x) y' = -csc²(x)


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, 6 of 66

Term



y = sec(x), y' =



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y' = cos(x) y' = sec(x)tan(x)




y' = 1/x y' = sec²(x)


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7 of 66

Term



Chain Rule



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g'(x) = f(x) y' = cos(x)




if f(1)=-4 and f(6)=9, then there must
f '(g(x)) g'(x) be a x-value between 1 and 6 where
f crosses the x-axis.


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