derivatives
Area/Volume
Misc.
limit
100

write the definition of derivative

what is the rate of change of a function with respect to a variable

100

what is the difference between area and volume equations

volume uses pi

100

find the the integration of x2

what is x3/3

100

what is the definition of limit

the y value a function approaches as it approaches a certain x value

200

what is v'(t) or a(t) also known as

what is acceleration or double derivative

200

what are the two shapes of volume

washers and discs

200

Integrate: ∫lnx dx

What is x ln x - x + C

200

lim x-> 3    x2 - 9 / x -3

what is 6

300

derivative of sec(x)

what is sec(x)tan(x)

300

what is the equation for a cross section with isosceles triangle

what is 1/2 ∫_a^b f(x)2dx

300

∫ cotx (sinx) dx

What is sinx+C

300

what is the limit x-> -5    x2 -7x - 60 / x + 5

what is -17

400

 Find the derivative of y = tan-1(1 + x2).

what is (2x) / [x4 + 2x2 + 2].

400

What is the formula used to find areas with more than one curve

What is ∫_a^b(f(x)-g(x) )dx

400

what is a critical number

f'(x)= 0 or
f'(x)=DNE
results in turning point

400

Name the 3 types of Discountinuties

What is Hole, Jump, Infinity

500

Differentiate f(x)=5/x3

what is -15/x4

500

what is the equation for a washer

V= π∫[R(x)²-r(x)²] dx
Limits from a to b

500

what is a point of inflection

when graph transitions between concave up or down;
when f''(x)=0

500

what is the limit x-> 0   2x2 / 1-cos(4x)

what is 1/4

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