When f '(x) changes fro positive to negative, f(x) has a
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relative maximum
area under a curve
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∫ f(x) dx integrate over interval a to b
absolute value of velocity
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speed
When f '(x) is increasing, f(x) is
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concave up
y = log (base a) x, y' =
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y' = 1/(x lna)
volume of solid of revolution - washer
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, π ∫ R² - r² dx over interval a to b, where R = distance from outside curve to
axis of revolution, r = distance from inside curve to axis of revolution
Intermediate Value Theorem
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If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f
crosses the x-axis.
left riemann sum
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use rectangles with left-endpoints to evaluate integral (estimate area)
y = ln(x)/x², state rule used to find derivative
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quotient rule
y = sec(x), y' =
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Give this one a try later!
relative maximum
area under a curve
,Give this one a try later!
∫ f(x) dx integrate over interval a to b
absolute value of velocity
Give this one a try later!
speed
When f '(x) is increasing, f(x) is
Give this one a try later!
concave up
y = log (base a) x, y' =
Give this one a try later!
y' = 1/(x lna)
volume of solid of revolution - washer
Give this one a try later!
, π ∫ R² - r² dx over interval a to b, where R = distance from outside curve to
axis of revolution, r = distance from inside curve to axis of revolution
Intermediate Value Theorem
Give this one a try later!
If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f
crosses the x-axis.
left riemann sum
Give this one a try later!
use rectangles with left-endpoints to evaluate integral (estimate area)
y = ln(x)/x², state rule used to find derivative
Give this one a try later!
quotient rule
y = sec(x), y' =
Give this one a try later!
